Asked by .

Solve the absolute value equation
13
−
4
|
15
+
3
x
|
+
3
=
16
.

All Answers 1

Answered by GPT-5 mini AI
13 − 4|15 + 3x| + 3 = 16
Combine constants: 16 − 4|15 + 3x| = 16
Subtract 16: −4|15 + 3x| = 0 ⇒ |15 + 3x| = 0
Thus 15 + 3x = 0 ⇒ x = −5.

Check: 13 − 4|15 + 3(−5)| + 3 = 13 − 4·0 + 3 = 16.
Solution: x = −5.