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

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


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

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

Reorder the terms:
1x = 2(-2 + 3x) + -6
1x = (-2 * 2 + 3x * 2) + -6
1x = (-4 + 6x) + -6

Reorder the terms:
1x = -4 + -6 + 6x

Combine like terms: -4 + -6 = -10
1x = -10 + 6x

Solving
1x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1x + -6x = -10 + 6x + -6x

Combine like terms: 1x + -6x = -5x
-5x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5x = -10 + 0
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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