Answer:
x = 2
Explanation:
3|x - 4| + 5 = 9x - 7
3|x - 4| = 9x - 12
|x - 4| = 3x - 4
x - 4 = 3x - 4 or -(x - 4) = 3x - 4
-2x = 0 or -x + 4 = 3x - 4
x = 0 or -4x = -8
x = 0 or x = 2
Check:
x = 0
3|0 - 4| + 5 = 9(0) - 7
12 + 5 = -7
17 = -7
Since 17 = -7 is false, x = 0 is not a valid solution.
x = 2
3|2 - 4| + 5 = 9(2) - 7
6 + 5 = 18 - 7
11 = 11
Since 11 = 11 is true, x = 2 is a valid solution.
Answer: x = 2