6x+174=12x-6

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Solution for 6x+174=12x-6 equation:


Simplifying
6x + 174 = 12x + -6

Reorder the terms:
174 + 6x = 12x + -6

Reorder the terms:
174 + 6x = -6 + 12x

Solving
174 + 6x = -6 + 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.
174 + 6x + -12x = -6 + 12x + -12x

Combine like terms: 6x + -12x = -6x
174 + -6x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
174 + -6x = -6 + 0
174 + -6x = -6

Add '-174' to each side of the equation.
174 + -174 + -6x = -6 + -174

Combine like terms: 174 + -174 = 0
0 + -6x = -6 + -174
-6x = -6 + -174

Combine like terms: -6 + -174 = -180
-6x = -180

Divide each side by '-6'.
x = 30

Simplifying
x = 30

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