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

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


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

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

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

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

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

Combine like terms: 8 + 5 = 13
6 + -2x = 13 + -5x

Solving
6 + -2x = 13 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + -2x + 5x = 13 + -5x + 5x

Combine like terms: -2x + 5x = 3x
6 + 3x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 3x = 13 + 0
6 + 3x = 13

Add '-6' to each side of the equation.
6 + -6 + 3x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 13 + -6
3x = 13 + -6

Combine like terms: 13 + -6 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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