CPM Homework Help : CC2 Problem 8-49

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8-49.

Solve these equations for $x$ . Check your answers.

$2 ( x + 4.5 ) = 32$
Step 1 (a):
Distribute.
$2(x)+2(4.5)=32$
Step 2 (a):
$2x+9=32\\ \quad\ -9\ \ -9\\ \quad \ \ \ 2x=23$
Subtract $9$ from both sides.
Step 3 (a):
Divide by $2$ .
$\frac{2\textit{x}}{2}=\frac{23}{2}$
Answer (a):
$x=11.5$

$6 + 2.5 x = 21$
Answer (b):
$x=6$

$\frac { x } { 9 } = \frac { 5 } { 16 }$
Hint (c):
Multiply both sides by $9$ and by $16$ .

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