3x+6-x=2x-3x-6

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


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

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

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

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

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

Solving
6 + 2x = -6 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
6 + 3x = -6 + 0
6 + 3x = -6

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

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

Combine like terms: -6 + -6 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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