# How do you solve 5/4(x-1/5)=9/4?

Jan 6, 2017

$x = 2$

#### Explanation:

$\frac{5}{4} \left(x - \frac{1}{5}\right) = \frac{9}{4}$

Multiply both sides by $4$.

$4 \times \frac{5}{4} \left(x - \frac{1}{5}\right) = 4 \times \frac{9}{4}$

$\cancel{4} \times \frac{5}{\cancel{4}} \left(x - \frac{1}{5}\right) = \cancel{4} \times \frac{9}{\cancel{4}}$

$5 \left(x - \frac{1}{5}\right) = 9$

Open the brackets and simplify. The product of a positive and a negative is a negative.

$5 x - 1 = 9$

Add $1$ to each side.

$5 x = 10$

Divide both sides by $5$.

$x = 2$