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

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


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

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

Reorder the terms:
6 + 3x + -2x = 3 + -2x

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

Solving
6 + 1x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 1x + 2x = 3 + -2x + 2x

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

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

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

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

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

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

Simplifying
x = -1

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