# How do you solve 33 -x/2=x/9?

May 23, 2017

$x = 54$

#### Explanation:

Step 1. Get rid of the fractions by multiplying by a common factor. Because $9$ and $2$ both divide evenly into $18$, multiply both sides by $18$.

$18 \times \left(33 - \frac{x}{2}\right) = 18 \times \frac{x}{9}$

Step 2. Distribute the $18$ through on the left; divide by $9$ on the right

$594 - 9 x = 2 x$

Step 2. Add $9 x$ to both sides

$594 = 11 x$

Step 3. Divide both sides by $11$

$x = 54$