|4x-3|-5=4 ------------------------------------------------- Step 1: Add 5 to both sides ------------------------------------------------- |4x-3|-5+5=4+5 |4x-3|=9 ------------------------------------------------- Step 2: Solve absolute value ------------------------------------------------- |4x-3|=9 ------------------------------------------------- we know either 4x-3=9 or 4x-3=-9 ------------------------------------------------- possibility 1: 4x-3=9 4x-3+3=9 (Add 3 to both sides) 4x=12 4x/4 = 12/4 ( divide both sides by 4) X=3 -------------------------------------------------------- possibility 2: 4x-3=-9 4x-3+3=-9+3 (Add 3 to both sides) 4x=-6 4x/4 = -6/4 (divide both sides by 4) X=-3/2 ----------------------------------------------------------- ANSWERS: x=3 or X=-3/2
