Question

Solve the equation
|x-3| -10=-5

Answer 1

x = ± 8

Explanation:

|x - 3| - 10 = - 5

|x - 3| - 10 + 10 = - 5 + 10

|x - 3| = 5

x - 3 = 5

x - 3 + 3 = 5 + 3

x + 3 = - 5

x + 3 - 3 = - 5 - 3

x = - 8

Answer 2

x=8 x=-2

Explanation:

|x-3| -10=-5

Add 10 to each side

|x-3| -10+10=-5+10

|x-3| =5

Now separate into two equations , one positive and one negative

x-3 = 5 x-3 = -5

Add 3 to each side

x-3+3 = 5+3 x-3+3 = -5 +3

x=8 x=-2