Question

Solve for x |4x - 3| = 20

Answer 1

Answer: $x=\frac{23}{4}$ and  $x=-\frac{17}{4}$

Step-by-step explanation:

Given the equation $|4x - 3| = 20$, you can set up two cases:

Case 1: $4x-3>0$

$4x-3=20$

Solve for the variable "x", therefore you get:

$4x=20+3\\\\x=\frac{23}{4}$

Case 2: $4x-3$

$-4x+3=20$

Solve for the variable "x". Then, you  get:

$-4x=20-3\\\\x=\frac{17}{-4}\\\\x=-\frac{17}{4}$

Therefore, the solution is:

$x=\frac{23}{4}$ and  $x=-\frac{17}{4}$