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

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


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

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

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

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

Combine like terms: -4x + -5x = -9x
11 + -9x = -1(3x + -3) + -5x + 5

Reorder the terms:
11 + -9x = -1(-3 + 3x) + -5x + 5
11 + -9x = (-3 * -1 + 3x * -1) + -5x + 5
11 + -9x = (3 + -3x) + -5x + 5

Reorder the terms:
11 + -9x = 3 + 5 + -3x + -5x

Combine like terms: 3 + 5 = 8
11 + -9x = 8 + -3x + -5x

Combine like terms: -3x + -5x = -8x
11 + -9x = 8 + -8x

Solving
11 + -9x = 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.
11 + -9x + 8x = 8 + -8x + 8x

Combine like terms: -9x + 8x = -1x
11 + -1x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
11 + -1x = 8 + 0
11 + -1x = 8

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

Combine like terms: 11 + -11 = 0
0 + -1x = 8 + -11
-1x = 8 + -11

Combine like terms: 8 + -11 = -3
-1x = -3

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

Simplifying
x = 3

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