3x-2=-12x+6

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Solution for 3x-2=-12x+6 equation:


Simplifying
3x + -2 = -12x + 6

Reorder the terms:
-2 + 3x = -12x + 6

Reorder the terms:
-2 + 3x = 6 + -12x

Solving
-2 + 3x = 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.
-2 + 3x + 12x = 6 + -12x + 12x

Combine like terms: 3x + 12x = 15x
-2 + 15x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
-2 + 15x = 6 + 0
-2 + 15x = 6

Add '2' to each side of the equation.
-2 + 2 + 15x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = 6 + 2
15x = 6 + 2

Combine like terms: 6 + 2 = 8
15x = 8

Divide each side by '15'.
x = 0.5333333333

Simplifying
x = 0.5333333333

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