3∣x−4∣=∣2x+5∣ Solve For Valid Answer Algebra 1 ASAP

Question

Help. I need to find solution but I got x=17 and x=7/5

Answer 1

If 3 l x - 4 l = l 2x + 5 l, then 3(x - 4) = ±(2x + 5)

So, 3x - 12 = 2x + 5 or 3x - 12 = -2x - 5

x = 17 or x = 7/5

Answer 2

3x-12=2x+5

x=17 and -17