# How do you solve 5x+7=10 by clearing the fractions?

Sep 29, 2017

$x = \frac{3}{5}$

#### Explanation:

$5 x + 7 = 10$

Subtract both sides by $\textcolor{red}{7}$

$5 x + 7 - \textcolor{red}{7} = 10 - \textcolor{red}{7}$

$5 x + 0 = 10 - 7$

$5 x = 3$

Divide both sides by $\textcolor{red}{5}$

$\frac{5 x}{\textcolor{red}{5}} = \frac{3}{\textcolor{red}{5}}$

$\frac{\cancel{\left(5\right) x}}{\cancel{5}} = \frac{3}{5}$

$x = \frac{3}{5}$