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

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


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

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

Solving
6 + -2x = 2 + -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.
6 + -2x + 3x = 2 + -3x + 3x

Combine like terms: -2x + 3x = 1x
6 + 1x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 1x = 2 + 0
6 + 1x = 2

Add '-6' to each side of the equation.
6 + -6 + 1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 2 + -6
1x = 2 + -6

Combine like terms: 2 + -6 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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