-2(1-x)+8(x-8)=8x+4+7-5x

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Solution for -2(1-x)+8(x-8)=8x+4+7-5x equation:


Simplifying
-2(1 + -1x) + 8(x + -8) = 8x + 4 + 7 + -5x
(1 * -2 + -1x * -2) + 8(x + -8) = 8x + 4 + 7 + -5x
(-2 + 2x) + 8(x + -8) = 8x + 4 + 7 + -5x

Reorder the terms:
-2 + 2x + 8(-8 + x) = 8x + 4 + 7 + -5x
-2 + 2x + (-8 * 8 + x * 8) = 8x + 4 + 7 + -5x
-2 + 2x + (-64 + 8x) = 8x + 4 + 7 + -5x

Reorder the terms:
-2 + -64 + 2x + 8x = 8x + 4 + 7 + -5x

Combine like terms: -2 + -64 = -66
-66 + 2x + 8x = 8x + 4 + 7 + -5x

Combine like terms: 2x + 8x = 10x
-66 + 10x = 8x + 4 + 7 + -5x

Reorder the terms:
-66 + 10x = 4 + 7 + 8x + -5x

Combine like terms: 4 + 7 = 11
-66 + 10x = 11 + 8x + -5x

Combine like terms: 8x + -5x = 3x
-66 + 10x = 11 + 3x

Solving
-66 + 10x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-66 + 10x + -3x = 11 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-66 + 7x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-66 + 7x = 11 + 0
-66 + 7x = 11

Add '66' to each side of the equation.
-66 + 66 + 7x = 11 + 66

Combine like terms: -66 + 66 = 0
0 + 7x = 11 + 66
7x = 11 + 66

Combine like terms: 11 + 66 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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