Question

Solve the equation.

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

Short answer

The solution of $\frac{3}{5}x-\frac{2}{5}=2$ is$x=4$.

Step-by-step solution

. Given

The given equation is$\frac{3}{5}x-\frac{2}{5}=2$.

.To determine

We have to solve the equation$\frac{3}{5}x-\frac{2}{5}=2$.

. Calculation

To solve the equation, we try to get x alone on a side:

$\begin{array}{c}\frac{3}{5}x-\frac{2}{5}=2\\ \frac{3}{5}x=2+\frac{2}{5}\left[\text{groupliketerms}\right]\\ \frac{3}{5}x=\frac{10+2}{5}\left[\text{writesumofnumeratoroverdenominator}\right]\\ \frac{3}{5}x=\frac{12}{5}\left[\text{add}\right]\\ 3x=12\left[\text{multiplybothsidewith5}\right]\\ x=4\left[\text{dividebothsideby3}\right]\\ \\ \end{array}$

So, the solution of the equation $\frac{3}{5}x-\frac{2}{5}=2$is$x=4$.