To solve for x, we want to get x to stand alone or to be by itself.  

So, in the equation

we want x to be alone.  To do that, we need to cancel out the .  The  is being divided, so to cancel it out, we must multiply by .  If we multiply by  on the left side of the equation, we must multiply by  on the right side of the equation.  So,

Solve for g, when h is equal to 6.

Let's begin by plugging in 6 for h

If you are really observant, you might be able to see the answer already, but let's keep going:

We can say the following about the right hand of the equation.

So, we can rewrite the original as:

Therefore, without any further algebra, we can say that g=6. We know this, because they have the same exponent and no other terms to change either side.

So, our answer is 6

To solve for x, we want x to stand alone or be by itself.  In the equation

to solve for x, we need to move the .  To move the , we need to cancel it out.  The  and the x are multiplied together.  To cancel multiplication, we will divide.  In this case, we will divide by .

If we divide by  on the left side of the equal sign, we need to divide by  on the right side of the equation as well.  So,

To solve for the variable, perform the opposite operations to manipulate the equation so that the variable is isolated on one side of the equation and all other constants are on the other side of the equation.

First subtract five from each side. Recall that when a negative number is subtracted the negative signs cancel and it becomes addition.

Next, divide by negative one third. Recall that dividing by a fraction is the same of multiplying by its reciprocal.

To solve for the variable, perform opposite operations to manipulate the equation so that the variable is isolated on one side of the equation and all other constants are on the other side.

Subtract a negative 0.7 from both sides which is the same as adding 0.7.

Now, divide by negative four on each side.

To solve for x, we need to get x to stand alone or be by itself.

In the equation

we want x to stand alone.  So we need to move the .  The x is being divided by the .  To cancel out division, we need to multiply.  So we will multiply by .  If we multiply by  on the left side, we have to multiply by  on the right side.  So,

To solve for a, we want a to stand by itself.  In the equation

we need to move the 4 away from a.  To move it, we need to cancel it out.  Right now, the 4 is being multiplied by a. To cancel out multiplication, we need to divide.  

So, we will divide by 4.  If we divide by 4 on the left side of the equal sign, we need to divide by 4 on the right side of the equal sign. So,

To solve for x, we want x to stand alone.  

So, in the equation

we need to move the 5 away from the x.  To move it, we need to cancel it out.  

Right now, the 5 is being multiplied by the x.  To cancel out multiplication, we will divide.  

If we divide by 5 on the left side of the equal sign, we need to divide by 5 on the right side of the equal sign.  We get

To solve for b, we need to get b to stand alone.

So, in the equation

we we need to move the 7 away from b.  To move the b away, we need to cancel it out.  We can see b is divided by 7.  To cancel out division, we need to multiply. 

If we multiply by 7 on the left side of the equal sign, we must multiply by 7 on the right side of the equal sign. So,

To solve for f, we want f to stand alone.

In the equation:

we want f to be alone.  Right now, f is divided by 6.  So, we need to move the 6.  To do that, we need to cancel it out.  To cancel out division, we need to multiply by 6.  

If we multiply by 6 on the left side of the equal sign, we need to multiply by 6 on the right side of the equal sign.

So, we get