# How do you solve 2/5x=3 by clearing the fractions?

Sep 29, 2017

#### Answer:

See a solution process below:

#### Explanation:

First, multiply each side of the equation by $\textcolor{red}{5}$ to clear the fractions and keep the equation balanced:

$\textcolor{red}{5} \times \frac{2}{5} x = \textcolor{red}{5} \times 3$

$\cancel{\textcolor{red}{5}} \times \frac{2}{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}} x = 15$

$2 x = 15$

Now, divide each side of the equation by $\textcolor{red}{2}$ to solve for $x$ while keeping the equation balanced:

$\frac{2 x}{\textcolor{red}{2}} = \frac{15}{\textcolor{red}{2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\cancel{\textcolor{red}{2}}} = \frac{15}{2}$

$x = \frac{15}{2}$

Or

$x = 7.5$