$\displaystyle 75 = -\frac{x}{5} - 5$

Step 1: Multiply both sides of the equation by 5.

$\displaystyle \rightarrow 375 = -x - 25$

Step 2: Add 25 to both sides of the equation.

$\displaystyle \rightarrow 400 = -x$

Step 3: Divide both sides of the equation by -1.

$\displaystyle \rightarrow x = -400$

$\displaystyle \frac{5x}6 - 2 = 5 - \frac{x}{2}$

Step 1: Multiply both sides of the equation by 6.

$\displaystyle \rightarrow 5x - 12 = 30 - 3x$

Step 2: Add $\displaystyle 3x$ to both sides of the equation, and add 12 to both sides of the equation.

$\displaystyle \rightarrow 8x = 42$

Step 3: Divide both sides of the equation by 8.

$\displaystyle \rightarrow x = \frac{21}{4}$

$\displaystyle -24 - \frac{2x}{5} = 100 + 3x$

Step 1: Multiply both sides of the equation by 5.

$\displaystyle \rightarrow -120 - 2x = 500 + 15x$

Step 2: Add $\displaystyle 2x$ to both sides of the equation, and subtract 500 from both sides of the equation.

$\displaystyle \rightarrow -620 = 17x$

Step 3: Divide both sides of the equation by 17.

$\displaystyle \rightarrow x = -\frac{620}{17}$

Take this equation step by step. First, I would do the distributive property so that the equation looks like:

$\displaystyle 6x-2+4=20$.

Next, combine like terms:

$\displaystyle 6x+2=20$.

Subtract 2 from both sides so that you get

$\displaystyle 6x=18$.

Then, divide by 6 so that x=3.

To find $\displaystyle x$ you must isolate the variable on one side of the equation. In this case, start by dividing both sides of the equation by $\displaystyle 2$.

$\displaystyle \frac{2(x+4)}{2}=\frac{10}{2}$

$\displaystyle x+4=5$

Then, subtract $\displaystyle 4$ from each side.

$\displaystyle x+4-4=5-4$

$\displaystyle x=5-4$

This will leave you with the answer $\displaystyle x=1$.

First things first, always do the same operation to each side; never subtract only from one side. We do this because of the equal sign in the middle (each side must remain equal to each other).

$\displaystyle 3x-3=9-(12x-3)$

First distribute the negative sign on the right side:

$\displaystyle 3x-3=9-12x+3)$

Now get all the x's on one side by adding 12 to BOTH sides:

$\displaystyle 15x-3=9+3$

Simplify the right side:

$\displaystyle 15x-3=12$

Isolate the X variable:

$\displaystyle 15x=15$

Once more, but this time by division:

$\displaystyle x=1$

Collect like terms and solve for x.

$\displaystyle -12=4+5x-20-3x$

$\displaystyle -12-4+20=5x-3x$

$\displaystyle 4=2x$

$\displaystyle x=2$

To solve, we first need to get x out of the denominator so that we can start to isolate it.

Multiply both sides by $\displaystyle 2x+7$:

$\displaystyle 3(2x + 7 ) = 15$

Divide both sides by 3.

$\displaystyle 2 x + 7 = 5$ 

Subtract 7 from both sides.

$\displaystyle 2 x = -2$ 

Divide by 2

$\displaystyle x = -1$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\displaystyle -2(x + 1 ) = -8$

First divide both sides by -2.

$\displaystyle x + 1 = 4$

Next, subtract 1 from both sides.

$\displaystyle x= 3$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

 $\displaystyle 2 = \frac{ 2x - 4 }{ 3 }$

First multiply both sides by 3.

$\displaystyle 6 = 2x - 4$.

Next, add 4 to both sides.

$\displaystyle 10 = 2x$

Finally, divide both sides by 2.

$\displaystyle 5 = x$