Question

Solve for x
|4x - 3| = 20

Answer 1

Answer:
`x=(23)/(4)` and
`x=-(17)/(4)`

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=(23)/(4)`

Case 2:
`4x-3<0`

`-4x+3=20`

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

`-4x=20-3\\\\x=(17)/(-4)\\\\x=-(17)/(4)`

Therefore, the solution is:

`x=(23)/(4)` and
`x=-(17)/(4)`