Question

In the following exercises, solve.

$\left|3x-4\right|+5=7$

Short answer

The solution is$x=\frac{2}{3}$or$x=2$

Step-by-step solution

Step 1. Given information

Absolute value equation:$\left|3x-4\right|+5=7$

Step 2. Calculation

We have,

$\left|3x-4\right|+5=7$

$\left|3x-4\right|+5-5=7-5$

$\left|3x-4\right|=2$

$3x-4=-2$ or $3x-4=2$

$3x-4+4=-2+4$ or $3x-4+4=2+4$

$3x=2$ or $3x=6$

$\frac{3x}{3}=\frac{2}{3}$ or $\frac{3x}{3}=\frac{6}{3}$

$x=\frac{2}{3}$ or$x=2$