Question

|x| + 5 = 18

Answer 1

To solve for x, we need to isolate the variable on one side of the equation.

Starting with the equation:

|x| + 5 = 18

We can split it into two separate equations: one where |x| equals x, and another where |x| equals -x.

1) x + 5 = 18
Subtracting 5 from both sides:
x = 18 - 5
x = 13

2) -x + 5 = 18
Subtracting 5 from both sides:
-x = 18 - 5
-x = 13
Multiplying both sides by -1 to isolate x:
x = -13

Therefore, the solutions to the equation |x| + 5 = 18 are x = 13 and x = -13.