CPM Homework Help : CC3 Problem 9-36

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9-36.

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.
$24 = 3x + 3$
$-3 \quad \quad −3$
$21 = 3x$
Step 2 (a):
Divide both sides by $3$ .
$\frac{21}{3}=\frac{3{\it x}}{3}$
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).

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

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