-(3x-4)-(5x-7)+6=-6(x-6)-(4x+5)+3

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Solution for -(3x-4)-(5x-7)+6=-6(x-6)-(4x+5)+3 equation: 


Simplifying
-1(3x + -4) + -1(5x + -7) + 6 = -6(x + -6) + -1(4x + 5) + 3

Reorder the terms:
-1(-4 + 3x) + -1(5x + -7) + 6 = -6(x + -6) + -1(4x + 5) + 3
(-4 * -1 + 3x * -1) + -1(5x + -7) + 6 = -6(x + -6) + -1(4x + 5) + 3
(4 + -3x) + -1(5x + -7) + 6 = -6(x + -6) + -1(4x + 5) + 3

Reorder the terms:
4 + -3x + -1(-7 + 5x) + 6 = -6(x + -6) + -1(4x + 5) + 3
4 + -3x + (-7 * -1 + 5x * -1) + 6 = -6(x + -6) + -1(4x + 5) + 3
4 + -3x + (7 + -5x) + 6 = -6(x + -6) + -1(4x + 5) + 3

Reorder the terms:
4 + 7 + 6 + -3x + -5x = -6(x + -6) + -1(4x + 5) + 3

Combine like terms: 4 + 7 = 11
11 + 6 + -3x + -5x = -6(x + -6) + -1(4x + 5) + 3

Combine like terms: 11 + 6 = 17
17 + -3x + -5x = -6(x + -6) + -1(4x + 5) + 3

Combine like terms: -3x + -5x = -8x
17 + -8x = -6(x + -6) + -1(4x + 5) + 3

Reorder the terms:
17 + -8x = -6(-6 + x) + -1(4x + 5) + 3
17 + -8x = (-6 * -6 + x * -6) + -1(4x + 5) + 3
17 + -8x = (36 + -6x) + -1(4x + 5) + 3

Reorder the terms:
17 + -8x = 36 + -6x + -1(5 + 4x) + 3
17 + -8x = 36 + -6x + (5 * -1 + 4x * -1) + 3
17 + -8x = 36 + -6x + (-5 + -4x) + 3

Reorder the terms:
17 + -8x = 36 + -5 + 3 + -6x + -4x

Combine like terms: 36 + -5 = 31
17 + -8x = 31 + 3 + -6x + -4x

Combine like terms: 31 + 3 = 34
17 + -8x = 34 + -6x + -4x

Combine like terms: -6x + -4x = -10x
17 + -8x = 34 + -10x

Solving
17 + -8x = 34 + -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.
17 + -8x + 10x = 34 + -10x + 10x

Combine like terms: -8x + 10x = 2x
17 + 2x = 34 + -10x + 10x

Combine like terms: -10x + 10x = 0
17 + 2x = 34 + 0
17 + 2x = 34

Add '-17' to each side of the equation.
17 + -17 + 2x = 34 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 34 + -17
2x = 34 + -17

Combine like terms: 34 + -17 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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