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

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Solution for 2(x+4)=-2(8x-1)+8x equation:


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

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

Reorder the terms:
8 + 2x = -2(-1 + 8x) + 8x
8 + 2x = (-1 * -2 + 8x * -2) + 8x
8 + 2x = (2 + -16x) + 8x

Combine like terms: -16x + 8x = -8x
8 + 2x = 2 + -8x

Solving
8 + 2x = 2 + -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.
8 + 2x + 8x = 2 + -8x + 8x

Combine like terms: 2x + 8x = 10x
8 + 10x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
8 + 10x = 2 + 0
8 + 10x = 2

Add '-8' to each side of the equation.
8 + -8 + 10x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 10x = 2 + -8
10x = 2 + -8

Combine like terms: 2 + -8 = -6
10x = -6

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6

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