-3x+7-6(x-1)=-(2x-5)-6x+6

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Solution for -3x+7-6(x-1)=-(2x-5)-6x+6 equation:


Simplifying
-3x + 7 + -6(x + -1) = -1(2x + -5) + -6x + 6

Reorder the terms:
-3x + 7 + -6(-1 + x) = -1(2x + -5) + -6x + 6
-3x + 7 + (-1 * -6 + x * -6) = -1(2x + -5) + -6x + 6
-3x + 7 + (6 + -6x) = -1(2x + -5) + -6x + 6

Reorder the terms:
7 + 6 + -3x + -6x = -1(2x + -5) + -6x + 6

Combine like terms: 7 + 6 = 13
13 + -3x + -6x = -1(2x + -5) + -6x + 6

Combine like terms: -3x + -6x = -9x
13 + -9x = -1(2x + -5) + -6x + 6

Reorder the terms:
13 + -9x = -1(-5 + 2x) + -6x + 6
13 + -9x = (-5 * -1 + 2x * -1) + -6x + 6
13 + -9x = (5 + -2x) + -6x + 6

Reorder the terms:
13 + -9x = 5 + 6 + -2x + -6x

Combine like terms: 5 + 6 = 11
13 + -9x = 11 + -2x + -6x

Combine like terms: -2x + -6x = -8x
13 + -9x = 11 + -8x

Solving
13 + -9x = 11 + -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.
13 + -9x + 8x = 11 + -8x + 8x

Combine like terms: -9x + 8x = -1x
13 + -1x = 11 + -8x + 8x

Combine like terms: -8x + 8x = 0
13 + -1x = 11 + 0
13 + -1x = 11

Add '-13' to each side of the equation.
13 + -13 + -1x = 11 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 11 + -13
-1x = 11 + -13

Combine like terms: 11 + -13 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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