Question

Solve the equation.

$\frac{1}{4}x-\frac{3}{8}=9$

Short answer

The solution of$\frac{1}{4}x-\frac{3}{8}=9$ is$x=\frac{75}{4}$ .

Step-by-step solution

. Given

The given equation is$\frac{1}{4}x-\frac{3}{8}=9$ .

. To determine

We have to solve the equation$\frac{1}{4}x-\frac{3}{8}=9$.

. Calculation

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

$\begin{array}{c}\frac{1}{4}x-\frac{3}{8}=9\\ \frac{1}{4}x=9+\frac{3}{8}\left[\text{groupliketerms}\right]\\ \frac{1}{4}x=\frac{72+3}{8}\left[\text{writesumofnumeratoroverdenominator}\right]\\ \frac{1}{4}x=\frac{75}{8}\left[\text{add}\right]\\ x=\frac{75}{4}\left[\text{multiplybothsidewith4}\right]\\ \\ \end{array}$

So, the solution of the equation $\frac{1}{4}x-\frac{3}{8}=9$is$x=\frac{75}{4}$ .