-5x+7-6(x-1)=-(4x-4)-6x+6

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Solution for -5x+7-6(x-1)=-(4x-4)-6x+6 equation:


Simplifying
-5x + 7 + -6(x + -1) = -1(4x + -4) + -6x + 6

Reorder the terms:
-5x + 7 + -6(-1 + x) = -1(4x + -4) + -6x + 6
-5x + 7 + (-1 * -6 + x * -6) = -1(4x + -4) + -6x + 6
-5x + 7 + (6 + -6x) = -1(4x + -4) + -6x + 6

Reorder the terms:
7 + 6 + -5x + -6x = -1(4x + -4) + -6x + 6

Combine like terms: 7 + 6 = 13
13 + -5x + -6x = -1(4x + -4) + -6x + 6

Combine like terms: -5x + -6x = -11x
13 + -11x = -1(4x + -4) + -6x + 6

Reorder the terms:
13 + -11x = -1(-4 + 4x) + -6x + 6
13 + -11x = (-4 * -1 + 4x * -1) + -6x + 6
13 + -11x = (4 + -4x) + -6x + 6

Reorder the terms:
13 + -11x = 4 + 6 + -4x + -6x

Combine like terms: 4 + 6 = 10
13 + -11x = 10 + -4x + -6x

Combine like terms: -4x + -6x = -10x
13 + -11x = 10 + -10x

Solving
13 + -11x = 10 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
13 + -11x + 10x = 10 + -10x + 10x

Combine like terms: -11x + 10x = -1x
13 + -1x = 10 + -10x + 10x

Combine like terms: -10x + 10x = 0
13 + -1x = 10 + 0
13 + -1x = 10

Add '-13' to each side of the equation.
13 + -13 + -1x = 10 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 10 + -13
-1x = 10 + -13

Combine like terms: 10 + -13 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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