-(6x-7)-(5x-8)+6=-9(x-4)-(8x+7)+5

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Solution for -(6x-7)-(5x-8)+6=-9(x-4)-(8x+7)+5 equation: 


Simplifying
-1(6x + -7) + -1(5x + -8) + 6 = -9(x + -4) + -1(8x + 7) + 5

Reorder the terms:
-1(-7 + 6x) + -1(5x + -8) + 6 = -9(x + -4) + -1(8x + 7) + 5
(-7 * -1 + 6x * -1) + -1(5x + -8) + 6 = -9(x + -4) + -1(8x + 7) + 5
(7 + -6x) + -1(5x + -8) + 6 = -9(x + -4) + -1(8x + 7) + 5

Reorder the terms:
7 + -6x + -1(-8 + 5x) + 6 = -9(x + -4) + -1(8x + 7) + 5
7 + -6x + (-8 * -1 + 5x * -1) + 6 = -9(x + -4) + -1(8x + 7) + 5
7 + -6x + (8 + -5x) + 6 = -9(x + -4) + -1(8x + 7) + 5

Reorder the terms:
7 + 8 + 6 + -6x + -5x = -9(x + -4) + -1(8x + 7) + 5

Combine like terms: 7 + 8 = 15
15 + 6 + -6x + -5x = -9(x + -4) + -1(8x + 7) + 5

Combine like terms: 15 + 6 = 21
21 + -6x + -5x = -9(x + -4) + -1(8x + 7) + 5

Combine like terms: -6x + -5x = -11x
21 + -11x = -9(x + -4) + -1(8x + 7) + 5

Reorder the terms:
21 + -11x = -9(-4 + x) + -1(8x + 7) + 5
21 + -11x = (-4 * -9 + x * -9) + -1(8x + 7) + 5
21 + -11x = (36 + -9x) + -1(8x + 7) + 5

Reorder the terms:
21 + -11x = 36 + -9x + -1(7 + 8x) + 5
21 + -11x = 36 + -9x + (7 * -1 + 8x * -1) + 5
21 + -11x = 36 + -9x + (-7 + -8x) + 5

Reorder the terms:
21 + -11x = 36 + -7 + 5 + -9x + -8x

Combine like terms: 36 + -7 = 29
21 + -11x = 29 + 5 + -9x + -8x

Combine like terms: 29 + 5 = 34
21 + -11x = 34 + -9x + -8x

Combine like terms: -9x + -8x = -17x
21 + -11x = 34 + -17x

Solving
21 + -11x = 34 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
21 + -11x + 17x = 34 + -17x + 17x

Combine like terms: -11x + 17x = 6x
21 + 6x = 34 + -17x + 17x

Combine like terms: -17x + 17x = 0
21 + 6x = 34 + 0
21 + 6x = 34

Add '-21' to each side of the equation.
21 + -21 + 6x = 34 + -21

Combine like terms: 21 + -21 = 0
0 + 6x = 34 + -21
6x = 34 + -21

Combine like terms: 34 + -21 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667

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