Question

$\frac{1}{3}x+\frac{2}{5}=\frac{1}{5}x-\frac{2}{5}$

Short answer

The value of$x=-6$.

Step-by-step solution

. Given information.

Consider the given equation.

$\frac{1}{3}x+\frac{2}{5}=\frac{1}{5}x-\frac{2}{5}$

Step 2. 

$\begin{array}{rcl}\frac{1}{3}x+\frac{2}{5}& =& \frac{1}{5}x-\frac{2}{5}\\ \frac{1}{3}x-\frac{1}{5}x& =& -\frac{2}{5}-\frac{2}{5}\\ \frac{5x-3x}{15}& =& \frac{-2-2}{5}\\ \frac{2x}{15}& =& -\frac{4}{5}\\ x& =& -6\end{array}$