3x+166=12x-14

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Solution for 3x+166=12x-14 equation:


Simplifying
3x + 166 = 12x + -14

Reorder the terms:
166 + 3x = 12x + -14

Reorder the terms:
166 + 3x = -14 + 12x

Solving
166 + 3x = -14 + 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.
166 + 3x + -12x = -14 + 12x + -12x

Combine like terms: 3x + -12x = -9x
166 + -9x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
166 + -9x = -14 + 0
166 + -9x = -14

Add '-166' to each side of the equation.
166 + -166 + -9x = -14 + -166

Combine like terms: 166 + -166 = 0
0 + -9x = -14 + -166
-9x = -14 + -166

Combine like terms: -14 + -166 = -180
-9x = -180

Divide each side by '-9'.
x = 20

Simplifying
x = 20

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