12x+6=15x-12

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Solution for 12x+6=15x-12 equation:


Simplifying
12x + 6 = 15x + -12

Reorder the terms:
6 + 12x = 15x + -12

Reorder the terms:
6 + 12x = -12 + 15x

Solving
6 + 12x = -12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 12x + -15x = -12 + 15x + -15x

Combine like terms: 12x + -15x = -3x
6 + -3x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -3x = -12 + 0
6 + -3x = -12

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

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

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

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

Simplifying
x = 6

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