# How do you solve 36/54=(2x)/6?

##### 1 Answer
Aug 9, 2016

The answer is $x = 2$.

#### Explanation:

$\frac{36}{54} = \frac{2 x}{6}$

Simplify $\frac{36}{54}$.

$9$ goes evenly into both $36$ and $54$.

$\frac{\frac{36}{9}}{\frac{54}{9}} = \frac{2 x}{6}$

Simplify.

$\frac{4}{6} = \frac{2 x}{6}$

Simplify $\frac{4}{6}$ to $\frac{2}{3}$.

$\frac{2}{3} = \frac{2 x}{6}$

Simplify $\frac{2 x}{6}$ to $\frac{x}{3}$

$\frac{2}{3} = \frac{x}{3}$

Multiply both sides of the equation by $3$.

$\cancel{3} \times \frac{2}{\cancel{3}} = \frac{x}{\cancel{3}} \times \cancel{3}$

Simplify.

$2 = x$

Switch sides.

$x = 2$