4(x+3)=-2(8x-8)+8x

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Solution for 4(x+3)=-2(8x-8)+8x equation:


Simplifying
4(x + 3) = -2(8x + -8) + 8x

Reorder the terms:
4(3 + x) = -2(8x + -8) + 8x
(3 * 4 + x * 4) = -2(8x + -8) + 8x
(12 + 4x) = -2(8x + -8) + 8x

Reorder the terms:
12 + 4x = -2(-8 + 8x) + 8x
12 + 4x = (-8 * -2 + 8x * -2) + 8x
12 + 4x = (16 + -16x) + 8x

Combine like terms: -16x + 8x = -8x
12 + 4x = 16 + -8x

Solving
12 + 4x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12 + 4x + 8x = 16 + -8x + 8x

Combine like terms: 4x + 8x = 12x
12 + 12x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 12x = 16 + 0
12 + 12x = 16

Add '-12' to each side of the equation.
12 + -12 + 12x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = 16 + -12
12x = 16 + -12

Combine like terms: 16 + -12 = 4
12x = 4

Divide each side by '12'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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