Answer: [tex]x=\frac{23}{4}[/tex] and [tex]x=-\frac{17}{4}[/tex]
Step-by-step explanation:
Given the equation [tex]|4x - 3| = 20[/tex], you can set up two cases:
Case 1: [tex]4x-3>0[/tex]
[tex]4x-3=20[/tex]
Solve for the variable "x", therefore you get:
[tex]4x=20+3\\\\x=\frac{23}{4}[/tex]
Case 2: [tex]4x-3<0[/tex]
[tex]-4x+3=20[/tex]
Solve for the variable "x". Then, you get:
[tex]-4x=20-3\\\\x=\frac{17}{-4}\\\\x=-\frac{17}{4}[/tex]
Therefore, the solution is:
[tex]x=\frac{23}{4}[/tex] and [tex]x=-\frac{17}{4}[/tex]
