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

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Solution for -3x+6-5(x-1)=-1(2x-4)-5x-5 equation:


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

Reorder the terms:
-3x + 6 + -5(-1 + x) = -1(2x + -4) + -5x + -5
-3x + 6 + (-1 * -5 + x * -5) = -1(2x + -4) + -5x + -5
-3x + 6 + (5 + -5x) = -1(2x + -4) + -5x + -5

Reorder the terms:
6 + 5 + -3x + -5x = -1(2x + -4) + -5x + -5

Combine like terms: 6 + 5 = 11
11 + -3x + -5x = -1(2x + -4) + -5x + -5

Combine like terms: -3x + -5x = -8x
11 + -8x = -1(2x + -4) + -5x + -5

Reorder the terms:
11 + -8x = -1(-4 + 2x) + -5x + -5
11 + -8x = (-4 * -1 + 2x * -1) + -5x + -5
11 + -8x = (4 + -2x) + -5x + -5

Reorder the terms:
11 + -8x = 4 + -5 + -2x + -5x

Combine like terms: 4 + -5 = -1
11 + -8x = -1 + -2x + -5x

Combine like terms: -2x + -5x = -7x
11 + -8x = -1 + -7x

Solving
11 + -8x = -1 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
11 + -8x + 7x = -1 + -7x + 7x

Combine like terms: -8x + 7x = -1x
11 + -1x = -1 + -7x + 7x

Combine like terms: -7x + 7x = 0
11 + -1x = -1 + 0
11 + -1x = -1

Add '-11' to each side of the equation.
11 + -11 + -1x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -1 + -11
-1x = -1 + -11

Combine like terms: -1 + -11 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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