3x-6+6x+12=12x-24

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Solution for 3x-6+6x+12=12x-24 equation:


Simplifying
3x + -6 + 6x + 12 = 12x + -24

Reorder the terms:
-6 + 12 + 3x + 6x = 12x + -24

Combine like terms: -6 + 12 = 6
6 + 3x + 6x = 12x + -24

Combine like terms: 3x + 6x = 9x
6 + 9x = 12x + -24

Reorder the terms:
6 + 9x = -24 + 12x

Solving
6 + 9x = -24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 9x + -12x = -24 + 12x + -12x

Combine like terms: 9x + -12x = -3x
6 + -3x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -3x = -24 + 0
6 + -3x = -24

Add '-6' to each side of the equation.
6 + -6 + -3x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -24 + -6
-3x = -24 + -6

Combine like terms: -24 + -6 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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