-6x-(-5-3x)=-2(4x-4)

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Solution for -6x-(-5-3x)=-2(4x-4) equation:


Simplifying
-6x + -1(-5 + -3x) = -2(4x + -4)
-6x + (-5 * -1 + -3x * -1) = -2(4x + -4)
-6x + (5 + 3x) = -2(4x + -4)

Reorder the terms:
5 + -6x + 3x = -2(4x + -4)

Combine like terms: -6x + 3x = -3x
5 + -3x = -2(4x + -4)

Reorder the terms:
5 + -3x = -2(-4 + 4x)
5 + -3x = (-4 * -2 + 4x * -2)
5 + -3x = (8 + -8x)

Solving
5 + -3x = 8 + -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.
5 + -3x + 8x = 8 + -8x + 8x

Combine like terms: -3x + 8x = 5x
5 + 5x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
5 + 5x = 8 + 0
5 + 5x = 8

Add '-5' to each side of the equation.
5 + -5 + 5x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 8 + -5
5x = 8 + -5

Combine like terms: 8 + -5 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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