### Home > ACC7 > Chapter 9 Unit 10 > Lesson CC3: 9.2.1 > Problem9-61

9-61.

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

1. $2\left(x + 4.5\right) = 32$

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

Subtract 9 from both sides.

$2x + 9 = 32$
$\:\:\:\:−9 \:\:\:\:−9$
$2x = 23$

Divide by $2$.

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

$x = 11.5$

1. $6 + 2.5x = 21$

Isolate the variable.

See part (a).

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

You could cross multiply.
$16x = 5(9)$

${\it x} = \frac{45}{16}$
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