3x+105=12x-12

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Solution for 3x+105=12x-12 equation:


Simplifying
3x + 105 = 12x + -12

Reorder the terms:
105 + 3x = 12x + -12

Reorder the terms:
105 + 3x = -12 + 12x

Solving
105 + 3x = -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.
105 + 3x + -12x = -12 + 12x + -12x

Combine like terms: 3x + -12x = -9x
105 + -9x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
105 + -9x = -12 + 0
105 + -9x = -12

Add '-105' to each side of the equation.
105 + -105 + -9x = -12 + -105

Combine like terms: 105 + -105 = 0
0 + -9x = -12 + -105
-9x = -12 + -105

Combine like terms: -12 + -105 = -117
-9x = -117

Divide each side by '-9'.
x = 13

Simplifying
x = 13

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