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

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


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

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

Combine like terms: 6 + 2 = 8
8 + -2x = 5 + -3x

Solving
8 + -2x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + -2x + 3x = 5 + -3x + 3x

Combine like terms: -2x + 3x = 1x
8 + 1x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 1x = 5 + 0
8 + 1x = 5

Add '-8' to each side of the equation.
8 + -8 + 1x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 5 + -8
1x = 5 + -8

Combine like terms: 5 + -8 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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