5x+9=12x-12

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Solution for 5x+9=12x-12 equation:


Simplifying
5x + 9 = 12x + -12

Reorder the terms:
9 + 5x = 12x + -12

Reorder the terms:
9 + 5x = -12 + 12x

Solving
9 + 5x = -12 + 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.
9 + 5x + -12x = -12 + 12x + -12x

Combine like terms: 5x + -12x = -7x
9 + -7x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -7x = -12 + 0
9 + -7x = -12

Add '-9' to each side of the equation.
9 + -9 + -7x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -12 + -9
-7x = -12 + -9

Combine like terms: -12 + -9 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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