2-3(x-2)=x

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


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

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

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

Solving
8 + -3x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -3x + -1x = x + -1x

Combine like terms: -3x + -1x = -4x
8 + -4x = x + -1x

Combine like terms: x + -1x = 0
8 + -4x = 0

Add '-8' to each side of the equation.
8 + -8 + -4x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 0 + -8
-4x = 0 + -8

Combine like terms: 0 + -8 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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