# Algebra

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I4x-4I=8x+16 (The 2 "I" are absolute signs)

• Algebra -

[4x - 4] = 8x + 16.
There are 2 possible solutions:
4x - 4 = +- (8x + 16),

First Eq:
4x - 4 = +(8x + 16),
4x - 8x = 16 + 4,
-4x = 20,
x = -5.

2nd Eq:
4x - 4 = -(8x + 16),
4x - 4 = -8x - 16,
4x + 8x = -16 + 4,
12x = -12,
x = -1.

Check 1st Eq:
[4*-5 -4] = 8*-5 + 16,
[-24] = -24.
The above statement is NOT true:
[-24] = +24.
Therefore, -5 is NOT a solution.

Check 2nd Eq:
[4*-1 - 4] = 8*-1 + 16,
[-8] = 8. TRUE.

Solution:x = -1.

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