3x=2x-2+3x-12

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Solution for 3x=2x-2+3x-12 equation:


Simplifying
3x = 2x + -2 + 3x + -12

Reorder the terms:
3x = -2 + -12 + 2x + 3x

Combine like terms: -2 + -12 = -14
3x = -14 + 2x + 3x

Combine like terms: 2x + 3x = 5x
3x = -14 + 5x

Solving
3x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3x + -5x = -14 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2x = -14 + 0
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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