Garnet H. answered • 02/05/13

Calculus, Physics, Stat, Linear Algebra, GRE, GMAT, SAT... Tutoring

you have an extra (-) there, so i assume you mean |4x+5| - 7 = 0

first step is to solve for the absolute expression...

**|4x+5| = 7**

now that we have this, imagine what this would mean: |y|=7

this means either y=7 or y=-7 (same as -y=7)

we use this same idea...

**4x+5 = 7 or 4x+5 = -7**

solving the first one, we get 4x=2 which leads to **x = 1/2**

and the second one gets us 4x=-12 which leads to **x = -3**