-2x-2(2-5x)=4(x-6)-8

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Solution for -2x-2(2-5x)=4(x-6)-8 equation:


Simplifying
-2x + -2(2 + -5x) = 4(x + -6) + -8
-2x + (2 * -2 + -5x * -2) = 4(x + -6) + -8
-2x + (-4 + 10x) = 4(x + -6) + -8

Reorder the terms:
-4 + -2x + 10x = 4(x + -6) + -8

Combine like terms: -2x + 10x = 8x
-4 + 8x = 4(x + -6) + -8

Reorder the terms:
-4 + 8x = 4(-6 + x) + -8
-4 + 8x = (-6 * 4 + x * 4) + -8
-4 + 8x = (-24 + 4x) + -8

Reorder the terms:
-4 + 8x = -24 + -8 + 4x

Combine like terms: -24 + -8 = -32
-4 + 8x = -32 + 4x

Solving
-4 + 8x = -32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 8x + -4x = -32 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-4 + 4x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 4x = -32 + 0
-4 + 4x = -32

Add '4' to each side of the equation.
-4 + 4 + 4x = -32 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = -32 + 4
4x = -32 + 4

Combine like terms: -32 + 4 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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