Solving an Equation Step-by-Step: CCSS.Math.Content.HSA-REI.A.1 - Algebra

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, subtract from .

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, subtract the constant from the right-hand side of the equation to the left-hand side.

                              

Finally divide each side by three to solve for .

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine the like terms on the left-hand side of the equation.

Therefore, the equation becomes,

Now, move all the variables to the right-hand side of the equation by adding to both sides.

                                          

From here, subtract the constant on the right-hand side from both sides of the equation.

                                

Lastly, divide by three on both sides of the equation to solve for .

To solve for , first combine like terms by adding to both sides.

Next, add to both sides.

From here, divide by to solve for .

To solve for , first subtract one from both sides to combine the constant terms.

                          

From here, multiply by two on both sides to solve for .

The two in the numerator cancels the two in the denominator on the left-hand side of the equation; thus, isolating .

To solve for first combine the constant terms by adding two to both sides of the equation.

                            

From here, multiply each side of the equation by 3 to solve for .

The three in the numerator cancels out the three in the denominator on the left-hand side of the equation; thus, solving for .

First, combine like terms on both sides of the equation.

On the left-hand side:

Thus the equation becomes,

Now, subtract from both sides.

                                      

Lastly, divide by negative one on both sides.

First, subtract from both sides to get the variables on one side.

                                          

From here, add ten to both sides to get all constants on one side, and solve for .

                                

First, combine like terms on the left-hand side of the equation.

Now, the equation is

From here, subtract from both sides.

                                        

Next, subtract five to both sides.

                            

Finally, divide both sides of the equation by two.

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, subtract from .

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, subtract the constant from the right-hand side of the equation to the left-hand side.

                              

Finally divide each side by three to solve for .

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

                                            

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

                              

To solve for , first combine the like terms on the left-hand side of the equation.

Therefore, the equation becomes,

Now, move all the variables to the right-hand side of the equation by adding to both sides.

                                          

From here, subtract the constant on the right-hand side from both sides of the equation.

                                

Lastly, divide by three on both sides of the equation to solve for .

To solve for , first combine like terms by adding to both sides.

Next, add to both sides.

From here, divide by to solve for .

To solve for , first subtract one from both sides to combine the constant terms.

                          

From here, multiply by two on both sides to solve for .

The two in the numerator cancels the two in the denominator on the left-hand side of the equation; thus, isolating .