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

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


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

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

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

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

Combine like terms: 9 + 8 = 17
17 + 3 + -5x + -4x = -8(x + -9) + -1(3x + 7) + 6

Combine like terms: 17 + 3 = 20
20 + -5x + -4x = -8(x + -9) + -1(3x + 7) + 6

Combine like terms: -5x + -4x = -9x
20 + -9x = -8(x + -9) + -1(3x + 7) + 6

Reorder the terms:
20 + -9x = -8(-9 + x) + -1(3x + 7) + 6
20 + -9x = (-9 * -8 + x * -8) + -1(3x + 7) + 6
20 + -9x = (72 + -8x) + -1(3x + 7) + 6

Reorder the terms:
20 + -9x = 72 + -8x + -1(7 + 3x) + 6
20 + -9x = 72 + -8x + (7 * -1 + 3x * -1) + 6
20 + -9x = 72 + -8x + (-7 + -3x) + 6

Reorder the terms:
20 + -9x = 72 + -7 + 6 + -8x + -3x

Combine like terms: 72 + -7 = 65
20 + -9x = 65 + 6 + -8x + -3x

Combine like terms: 65 + 6 = 71
20 + -9x = 71 + -8x + -3x

Combine like terms: -8x + -3x = -11x
20 + -9x = 71 + -11x

Solving
20 + -9x = 71 + -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.
20 + -9x + 11x = 71 + -11x + 11x

Combine like terms: -9x + 11x = 2x
20 + 2x = 71 + -11x + 11x

Combine like terms: -11x + 11x = 0
20 + 2x = 71 + 0
20 + 2x = 71

Add '-20' to each side of the equation.
20 + -20 + 2x = 71 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 71 + -20
2x = 71 + -20

Combine like terms: 71 + -20 = 51
2x = 51

Divide each side by '2'.
x = 25.5

Simplifying
x = 25.5

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