Q. 54 - Algebra 2

Question

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

Step-by-Step Solution

Answer

The value of $x=-6$.

Step 1 . Given information.

Consider the given equation.

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

Step 2.

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