2-2(x-3)=3(x-3)-8

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


Simplifying
2 + -2(x + -3) = 3(x + -3) + -8

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

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

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

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

Combine like terms: -9 + -8 = -17
8 + -2x = -17 + 3x

Solving
8 + -2x = -17 + 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 = -17 + 3x + -3x

Combine like terms: -2x + -3x = -5x
8 + -5x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -5x = -17 + 0
8 + -5x = -17

Add '-8' to each side of the equation.
8 + -8 + -5x = -17 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -17 + -8
-5x = -17 + -8

Combine like terms: -17 + -8 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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