Question

Can someone show me how to solve this please? (I don't know how to get rid of the fraction)
|3/4+2x|=2

Answer 1

|3/4+2x|=2
3/4+2x=2 or 3/4+2x=-2
-3/4 -3/4 -3/4 -3/4
2x=2-3/4 or 2x=-2-3/4
2x=2-.75 or 2x=-2-.75
2x=1.25 or 2x-2.75
-- --- -- ---
2 2 2 2
x=.75 or x=1.375

Answer 2

Is there another possible way without the decimal?

Answer 3

|3/4+2x|=2
3/4+2x=2 or 3/4+2x=-2
-3/4 -3/4 -3/4 -3/4
2x=2-3/4 or 2x=-2-3/4
2x=1 1/4 or 2x = -2 3/4
-- ----- -- ------
2 2 2 2
x=3/4 or -11/8

Answer 4

Thank you very much c: