Question

What is the salon to the equation? 15 = |x| - 5

A. x = -3 or 3
B. x = -20 or 20
C. x = -5 or 5
D. x = -10 or 10​

Answer 1

Explanation:

15 = |x| - 5

|x| - 5 = 15

|x| = 15 + 5

|x| = 20

x = ±20

x = -20 or 20

Option → B

Answer 2

`\huge\text{Hey there!}`

`\large\boxed{\mathsf15 = }\\\large\boxed{\mathsfx}\\\large\boxed{\textbf{ADD 5 to BOTH SIDES}}\\\large\boxed{\mathsf - 5 + 5 = 15 + 5}\\\large\boxed{\textbf{CANCEL out: -5 + 5 because it gives you 0}}\\\large\boxed{\textbf{KEEP: 15 + 5 because it help solve for the x-value}}\\\large\boxed{\textbf{NEW EQUATION: }\mathbfx}\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\large\textbf{Possibility \#1: x = 20}\\\large\textbf{or even Possibility \#2: x = -20}`

`\huge\textbf{Therefore, your answer is: }\\\boxed{\mathsf{x = 20\ or\ x = -20}}\\\huge\boxed{\textbf{(Option B.)}}\huge\checkmark`

~