### Home > MC2 > Chapter 9 > Lesson 9.1.2 > Problem9-20

9-20.

Simplify and solve each equation below for $x$. Show your work and check your answer.

1. $24 = 3x + 3$

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

Divide both sides by $3$.
$\frac{21}{3} = \frac{3x}{3}$

$x = 7$

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. $\frac { 3 } { 4 } x = 2 x - 5$

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