### Home > ACC7 > Chapter cc38 > Lesson cc38.3.1 > Problem8-126

8-126.
1. Simplify and solve each equation below for x. Show your work and check your answer, if possible. Homework Help ✎

1. 24 = 3x + 3

2. 2(x − 6) = y − 14

3. 3(2x − 3) = 4x − 5

4. y = 2x − 6

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

Begin by distributing.

2(x) − 2(6) = y − 14
2x − 12 = y − 14
$\text{Multiply by }\frac{1}{2} \text{ on each side.}$
${\it x} = \frac{1}{2}{\it y}-1$
${\it x} = \frac{3}{8}{\it y}+3$