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

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


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

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

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

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

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

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

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

Reorder the terms:
9 + -9x = -8(-4 + x) + -1(3x + 5) + 2
9 + -9x = (-4 * -8 + x * -8) + -1(3x + 5) + 2
9 + -9x = (32 + -8x) + -1(3x + 5) + 2

Reorder the terms:
9 + -9x = 32 + -8x + -1(5 + 3x) + 2
9 + -9x = 32 + -8x + (5 * -1 + 3x * -1) + 2
9 + -9x = 32 + -8x + (-5 + -3x) + 2

Reorder the terms:
9 + -9x = 32 + -5 + 2 + -8x + -3x

Combine like terms: 32 + -5 = 27
9 + -9x = 27 + 2 + -8x + -3x

Combine like terms: 27 + 2 = 29
9 + -9x = 29 + -8x + -3x

Combine like terms: -8x + -3x = -11x
9 + -9x = 29 + -11x

Solving
9 + -9x = 29 + -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.
9 + -9x + 11x = 29 + -11x + 11x

Combine like terms: -9x + 11x = 2x
9 + 2x = 29 + -11x + 11x

Combine like terms: -11x + 11x = 0
9 + 2x = 29 + 0
9 + 2x = 29

Add '-9' to each side of the equation.
9 + -9 + 2x = 29 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 29 + -9
2x = 29 + -9

Combine like terms: 29 + -9 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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