Question

Solve: 4|3w+1|-7=17

Answer 1

4 | 3w + 1 | - 7 = 17 -- we want to get the absolute value and all that is in it on one side and everything else on the other side. So we will first add 7 to both sides.

4 | 3w + 1 | = 24 --- now divide both sides by 4
| 3w + 1 | = 6

(3w + 1) = 6
3w = 6 - 1
3w = 5
w = 5/3

-(3w + 1) = 6
-3w - 1 = 6
-3w = 7
w = -7/3

solutions are : w = 5/3 and w = -7/3

Answer 2

Thanks and are there any extraneous solutions?