Question

Which values of x will make the absolute value equation true?

|x – 2| = 6

Answer 1

Split it into two equations:

x - 2 = 6

and

-x + 2 = 6

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x - 2 = 6

Add 2 to both sides:

x = 8

-x + 2 = 6

Subtract 2 to both sides:

-x = 4

Multiply -1 to both sides:

x = -4

So x = 8 and x = -4.