Add 12 to both sides of the equation:

$\displaystyle 18x - 12 = 24$

         $\displaystyle +12=+12$

The equation should now look like this:

$\displaystyle 18x=36$

Divide each side by 18:

$\displaystyle \frac{18x}{18}=\frac{36}{18}=2$

Your result should be:

$\displaystyle x=2$

Subtract 3 from both sides:

$\displaystyle 2x + 3 = 75$

       $\displaystyle -3=-3$

The equation should now look like this:

$\displaystyle 2x=72$

Divide by 2:

$\displaystyle \frac{2x}{2}=\frac{72}{2}=36$

Your result should be:

$\displaystyle x=36$

Subtract 2 from each side:

$\displaystyle 6x + 2 = 32$

       $\displaystyle -2=-2$

The equation should now look like this:

$\displaystyle 6x=30$

Divide by 6:

$\displaystyle \frac{6x}{6}=\frac{30}{6}=5$

$\displaystyle x=5$

Subtract 24 from both sides of the equation:

$\displaystyle 16x + 24 = 88$

          $\displaystyle -24=-24$

The equation should now look like this:

$\displaystyle 16x = 64$

Then, isolate the variable by dividing by $\displaystyle 16$:

$\displaystyle \frac{16x}{16}=\frac{64}{16}=4$

Your result should be:

$\displaystyle x=4$

Add 6 to both sides:

$\displaystyle 2x - 6 = -12$

       $\displaystyle +6=+6$

The equation should now look like this:

$\displaystyle 2x=-6$

Divide by 2:

$\displaystyle \frac{2x}{2}=\frac{-6}{2}=-3$

Your result should be:

$\displaystyle x=-3$

Subtract $\displaystyle 62x$ from both sides of the equation:

$\displaystyle 62x + 12 = 50x$

$\displaystyle -62x$       $\displaystyle =$ $\displaystyle -62x$

The equation should now look like this:

$\displaystyle 12 = -12x$

Then, isolate the variable by moving the $\displaystyle -12$ to the other side of the equation as well. Do this by dividing:

$\displaystyle \frac{12}{-12}=\frac{-12x}{-12}$

Your result should be:

$\displaystyle x=-1$

Subtract $\displaystyle 4x$ from both sides of the equation:

   $\displaystyle 6x = 4x + 44$

The equation should now look like this:

$\displaystyle 2x=44$

Then, divide both sides by 2:

$\displaystyle \frac{2x}{2}=\frac{44}{2}=22$

Your result should be:

$\displaystyle x=22$

$\displaystyle 4n+2=-6$

Subtract 2 from both sides:

$\displaystyle 4n+2-2=-6-2$

$\displaystyle 4n=-8$

Divide by 4:

$\displaystyle \frac{4n}{4}=\frac{-8}{4}$

$\displaystyle n=-2$

In order to isolate $\displaystyle x$, we first have to add 2 to both sides:

$\displaystyle 3x=19+2$

$\displaystyle 3x=21$

We then divide by 3: 

$\displaystyle x=\frac{21}{3}=7$

To isolate $\displaystyle x$, we must move all other numbers to the other side of the equation. Recall that the order of operations is parentheses, exponents, multiplication, division, addition, and subtraction (PEMDAS) and when solving equations, we must follow these in the reverse order. Therefore, here, we begin by moving the 5 to the right hand side.

$\displaystyle \small 2x-5+5=3+5$

$\displaystyle \small 2x=8$

Next, we must divide by 2 to solve for $\displaystyle x$.

$\displaystyle \small \frac{2x}{2}=\frac{8}{2}$

$\displaystyle \small x=4$

Therefore, our answer is $\displaystyle \small x=4$.