6x+12=9x-6

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Solution for 6x+12=9x-6 equation:


Simplifying
6x + 12 = 9x + -6

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

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

Solving
12 + 6x = -6 + 9x

Solving for variable 'x'.

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

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

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

Combine like terms: 9x + -9x = 0
12 + -3x = -6 + 0
12 + -3x = -6

Add '-12' to each side of the equation.
12 + -12 + -3x = -6 + -12

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

Combine like terms: -6 + -12 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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