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

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


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

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

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

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

Combine like terms: 8 + 6 = 14
14 + 2 + -4x + -3x = -5(x + -7) + -1(5x + 5) + 6

Combine like terms: 14 + 2 = 16
16 + -4x + -3x = -5(x + -7) + -1(5x + 5) + 6

Combine like terms: -4x + -3x = -7x
16 + -7x = -5(x + -7) + -1(5x + 5) + 6

Reorder the terms:
16 + -7x = -5(-7 + x) + -1(5x + 5) + 6
16 + -7x = (-7 * -5 + x * -5) + -1(5x + 5) + 6
16 + -7x = (35 + -5x) + -1(5x + 5) + 6

Reorder the terms:
16 + -7x = 35 + -5x + -1(5 + 5x) + 6
16 + -7x = 35 + -5x + (5 * -1 + 5x * -1) + 6
16 + -7x = 35 + -5x + (-5 + -5x) + 6

Reorder the terms:
16 + -7x = 35 + -5 + 6 + -5x + -5x

Combine like terms: 35 + -5 = 30
16 + -7x = 30 + 6 + -5x + -5x

Combine like terms: 30 + 6 = 36
16 + -7x = 36 + -5x + -5x

Combine like terms: -5x + -5x = -10x
16 + -7x = 36 + -10x

Solving
16 + -7x = 36 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
16 + -7x + 10x = 36 + -10x + 10x

Combine like terms: -7x + 10x = 3x
16 + 3x = 36 + -10x + 10x

Combine like terms: -10x + 10x = 0
16 + 3x = 36 + 0
16 + 3x = 36

Add '-16' to each side of the equation.
16 + -16 + 3x = 36 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 36 + -16
3x = 36 + -16

Combine like terms: 36 + -16 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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