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

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


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

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

Remove parenthesis around (-8 + 6x)
-8 + 6x + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8

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

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

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

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

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

Reorder the terms:
5 + 2x = -8(-5 + x) + -1(5x + -6) + 8
5 + 2x = (-5 * -8 + x * -8) + -1(5x + -6) + 8
5 + 2x = (40 + -8x) + -1(5x + -6) + 8

Reorder the terms:
5 + 2x = 40 + -8x + -1(-6 + 5x) + 8
5 + 2x = 40 + -8x + (-6 * -1 + 5x * -1) + 8
5 + 2x = 40 + -8x + (6 + -5x) + 8

Reorder the terms:
5 + 2x = 40 + 6 + 8 + -8x + -5x

Combine like terms: 40 + 6 = 46
5 + 2x = 46 + 8 + -8x + -5x

Combine like terms: 46 + 8 = 54
5 + 2x = 54 + -8x + -5x

Combine like terms: -8x + -5x = -13x
5 + 2x = 54 + -13x

Solving
5 + 2x = 54 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
5 + 2x + 13x = 54 + -13x + 13x

Combine like terms: 2x + 13x = 15x
5 + 15x = 54 + -13x + 13x

Combine like terms: -13x + 13x = 0
5 + 15x = 54 + 0
5 + 15x = 54

Add '-5' to each side of the equation.
5 + -5 + 15x = 54 + -5

Combine like terms: 5 + -5 = 0
0 + 15x = 54 + -5
15x = 54 + -5

Combine like terms: 54 + -5 = 49
15x = 49

Divide each side by '15'.
x = 3.266666667

Simplifying
x = 3.266666667

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