### Home > CCAA > Chapter 8 Unit 7 > Lesson CC2: 8.2.2 > Problem8-49

8-49.

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

1. $2 ( x + 4.5 ) = 32$

Distribute.

$2(x)+2(4.5)=32$

$2x+9=32\\ \quad\ -9\ \ -9\\ \quad \ \ \ 2x=23$

Subtract $9$ from both sides.

Divide by $2$.

$\frac{2\textit{x}}{2}=\frac{23}{2}$

$x=11.5$

1. $6 + 2.5 x = 21$

$x=6$

1. $\frac { x } { 9 } = \frac { 5 } { 16 }$

Multiply both sides by $9$ and by $16$.
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