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

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Solution for 3(x-1)+6=2(2x-1)-2x equation:


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

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

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

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

Reorder the terms:
3 + 3x = 2(-1 + 2x) + -2x
3 + 3x = (-1 * 2 + 2x * 2) + -2x
3 + 3x = (-2 + 4x) + -2x

Combine like terms: 4x + -2x = 2x
3 + 3x = -2 + 2x

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

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

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

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

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

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

Divide each side by '1'.
x = -5

Simplifying
x = -5

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