Which of the following are solutions to | x + 3 | = 4x - 7?

Answer 1

|x+3| = 4x-7

x+3 = 4x-7

3x -10 =0

x = 10/3

check the answer

|10/3 +3| = 10/3+9/3 = 19/3 = 6 1/3

4(10/3)-7= 40/3-21/3 = 19/3 = 6 1/3

or

x+3 =-(4x-7) = -4x +7

5x = 4

x= 4/5

check the answer

|4/5+3|= 3.8

-4(.8)+7= -3.2+7= 3.8

but

4x-7= 4(.8)-7=3.2-7=-3.8

so there's only one solution: x = 10/3 = 6 1/3