4(x+8)-2=-2(-x-6)

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Solution for 4(x+8)-2=-2(-x-6) equation: 


Simplifying
4(x + 8) + -2 = -2(-1x + -6)

Reorder the terms:
4(8 + x) + -2 = -2(-1x + -6)
(8 * 4 + x * 4) + -2 = -2(-1x + -6)
(32 + 4x) + -2 = -2(-1x + -6)

Reorder the terms:
32 + -2 + 4x = -2(-1x + -6)

Combine like terms: 32 + -2 = 30
30 + 4x = -2(-1x + -6)

Reorder the terms:
30 + 4x = -2(-6 + -1x)
30 + 4x = (-6 * -2 + -1x * -2)
30 + 4x = (12 + 2x)

Solving
30 + 4x = 12 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
30 + 4x + -2x = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
30 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 2x = 12 + 0
30 + 2x = 12

Add '-30' to each side of the equation.
30 + -30 + 2x = 12 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 12 + -30
2x = 12 + -30

Combine like terms: 12 + -30 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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