CPM Homework Help : MC2 Problem 9-20

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Home > MC2 > Chapter 9 > Lesson 9.1.2 > Problem 9-20

9-20.

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

$24 = 3x + 3$
Step 1(a):
Begin isolating x by subtracting $3$ from both sides.
$−3 + 24 = 3x + 3-3$
$21 = 3x$
Step 2(a):
Divide both sides by $3$ .
$\frac{21}{3} = \frac{3x}{3}$
Answer (a):
$x = 7$

$2(x-6) = x-14$
Hint (b):
Begin by distributing.
Step 1(b):
$2(x) − 2(6) = x − 14$
$2x − 12 = x − 14$
Add $12$ to both sides.
Step 2(b):
$2x = x − 2$
Subtract $x$ from each side.
Answer (b):
$x = −2$

$3(2x-3) = 4x-5$
Hint (c):
Follow the methods presented in (a) and (b).

$\frac { 3 } { 4 } x = 2 x - 5$
Hint (d):
Follow the methods presented in (a) and (b).

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