-(5x-6)-(2x-6)+7=-8(x-4)-(3x+2)+9

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Solution for -(5x-6)-(2x-6)+7=-8(x-4)-(3x+2)+9 equation: 


Simplifying
-1(5x + -6) + -1(2x + -6) + 7 = -8(x + -4) + -1(3x + 2) + 9

Reorder the terms:
-1(-6 + 5x) + -1(2x + -6) + 7 = -8(x + -4) + -1(3x + 2) + 9
(-6 * -1 + 5x * -1) + -1(2x + -6) + 7 = -8(x + -4) + -1(3x + 2) + 9
(6 + -5x) + -1(2x + -6) + 7 = -8(x + -4) + -1(3x + 2) + 9

Reorder the terms:
6 + -5x + -1(-6 + 2x) + 7 = -8(x + -4) + -1(3x + 2) + 9
6 + -5x + (-6 * -1 + 2x * -1) + 7 = -8(x + -4) + -1(3x + 2) + 9
6 + -5x + (6 + -2x) + 7 = -8(x + -4) + -1(3x + 2) + 9

Reorder the terms:
6 + 6 + 7 + -5x + -2x = -8(x + -4) + -1(3x + 2) + 9

Combine like terms: 6 + 6 = 12
12 + 7 + -5x + -2x = -8(x + -4) + -1(3x + 2) + 9

Combine like terms: 12 + 7 = 19
19 + -5x + -2x = -8(x + -4) + -1(3x + 2) + 9

Combine like terms: -5x + -2x = -7x
19 + -7x = -8(x + -4) + -1(3x + 2) + 9

Reorder the terms:
19 + -7x = -8(-4 + x) + -1(3x + 2) + 9
19 + -7x = (-4 * -8 + x * -8) + -1(3x + 2) + 9
19 + -7x = (32 + -8x) + -1(3x + 2) + 9

Reorder the terms:
19 + -7x = 32 + -8x + -1(2 + 3x) + 9
19 + -7x = 32 + -8x + (2 * -1 + 3x * -1) + 9
19 + -7x = 32 + -8x + (-2 + -3x) + 9

Reorder the terms:
19 + -7x = 32 + -2 + 9 + -8x + -3x

Combine like terms: 32 + -2 = 30
19 + -7x = 30 + 9 + -8x + -3x

Combine like terms: 30 + 9 = 39
19 + -7x = 39 + -8x + -3x

Combine like terms: -8x + -3x = -11x
19 + -7x = 39 + -11x

Solving
19 + -7x = 39 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
19 + -7x + 11x = 39 + -11x + 11x

Combine like terms: -7x + 11x = 4x
19 + 4x = 39 + -11x + 11x

Combine like terms: -11x + 11x = 0
19 + 4x = 39 + 0
19 + 4x = 39

Add '-19' to each side of the equation.
19 + -19 + 4x = 39 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 39 + -19
4x = 39 + -19

Combine like terms: 39 + -19 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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