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

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


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

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

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

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

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

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

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

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

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

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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