### Home > ACC7 > Chapter 8 Unit 9 > Lesson CC3: 8.3.1 > Problem8-126

8-126.

Simplify and solve each equation below for x. Show your work and check your answer, if possible.

1. $24 = 3x + 3$

Begin isolating $x$ by subtracting $3$ from both sides.
$24 = 3x + 3$
$−3 −3$
$21 = 3x$

Divide both sides by $3$.

$\frac{21}{3}=\frac{3{\it x}}{3}$

$x = 7$

1. $2\left(x − 6\right) = y − 14$

Begin by distributing.

$2\left(x\right) − 2\left(6\right) = y − 14$
$2x − 12 = y − 14$
Add $12$ to both sides.

$2x = y − 2$

$\text{Multiply by }\frac{1}{2} \text{ on each side.}$

${\it x} = \frac{1}{2}{\it y}-1$

1. $3\left(2x − 3\right) = 4x − 5$

Follow the methods in parts (a) and (b).

1. $\frac{3}{4}y=2x−6$

Review the steps in part (b).

${\it x} = \frac{3}{8}{\it y}+3$