### Home > CC3 > Chapter Ch9 > Lesson 9.1.3 > Problem9-36

9-36.

Simplify and solve each equation below for x. Show your work and check your answer. Homework Help ✎

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. $2(x − 6) = x − 14$

Begin by distributing.

$2(x) − 2(6) = x − 14$
$2x − 12 = x − 14$

Add $12$ to both sides.

$2x = x − 2$
Subtract $x$ from each side.

$x = −2$

1. $3(2x − 3) = 4x − 5$

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

1. $\frac { 3 } { 4 }x = 2x − 5$

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

$x = 4$