-(3x-6)-(2x-8)+6=-8(x-8)-(6x+3)+9

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


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

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

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

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

Combine like terms: 6 + 8 = 14
14 + 6 + -3x + -2x = -8(x + -8) + -1(6x + 3) + 9

Combine like terms: 14 + 6 = 20
20 + -3x + -2x = -8(x + -8) + -1(6x + 3) + 9

Combine like terms: -3x + -2x = -5x
20 + -5x = -8(x + -8) + -1(6x + 3) + 9

Reorder the terms:
20 + -5x = -8(-8 + x) + -1(6x + 3) + 9
20 + -5x = (-8 * -8 + x * -8) + -1(6x + 3) + 9
20 + -5x = (64 + -8x) + -1(6x + 3) + 9

Reorder the terms:
20 + -5x = 64 + -8x + -1(3 + 6x) + 9
20 + -5x = 64 + -8x + (3 * -1 + 6x * -1) + 9
20 + -5x = 64 + -8x + (-3 + -6x) + 9

Reorder the terms:
20 + -5x = 64 + -3 + 9 + -8x + -6x

Combine like terms: 64 + -3 = 61
20 + -5x = 61 + 9 + -8x + -6x

Combine like terms: 61 + 9 = 70
20 + -5x = 70 + -8x + -6x

Combine like terms: -8x + -6x = -14x
20 + -5x = 70 + -14x

Solving
20 + -5x = 70 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
20 + -5x + 14x = 70 + -14x + 14x

Combine like terms: -5x + 14x = 9x
20 + 9x = 70 + -14x + 14x

Combine like terms: -14x + 14x = 0
20 + 9x = 70 + 0
20 + 9x = 70

Add '-20' to each side of the equation.
20 + -20 + 9x = 70 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = 70 + -20
9x = 70 + -20

Combine like terms: 70 + -20 = 50
9x = 50

Divide each side by '9'.
x = 5.555555556

Simplifying
x = 5.555555556

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