Question

Solve the equation. Check your answers. |x+4|+3=17

Answer 1

x = 9 or x = -17

Explanation:

|x+4|+3=17

• Subtract 3 from both sides.

|x+4| = 13

When finding absolute value, to get rid of brackets, we need two different values on the right side of the equation: One positive and one negative. So,

x + 4 = 13

or

x + 4 = -13

For x + 4 = 13:

• Subtract 4 from both sides.

x = 9

For x + 4 = -13:

• Subtract 4 from both sides.

x = -17