Algebra-1

To solve the equation |4x + 2| - 8 = x, we can start by isolating the absolute value term.

Add 8 to both sides:

|4x + 2| = x + 8

Consider two cases:

Case 1: 4x + 2 = x + 8

Solve for x:

4x + 2 = x + 8

4x + 2 - x = x + 8 - x

3x + 2 = 8

3x + 2 - 2 = 8 - 2

3x = 6

3x/3 = 6/3

x = 2

Case 2: 4x + 2 = -(x + 8)

Solve for x:

4x + 2 = -(x + 8)

4x + 2= -x - 8

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