Question

Solve for all values of x in simplest form.
26 = |x -15|
x= ?

Answer 1

25 =∣x - 15∣

Swap the sides so that all the terms of the variables are on the left side.

∣x - 15∣= 25

Use the definition of absolute value.

x - 15 = 25

x - 15 = -25

Add 15 to both sides of the equation.

x = 40

x = -10