6x+2=12x-3

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


Simplifying
6x + 2 = 12x + -3

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

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

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

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

Combine like terms: 12x + -12x = 0
2 + -6x = -3 + 0
2 + -6x = -3

Add '-2' to each side of the equation.
2 + -2 + -6x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -3 + -2
-6x = -3 + -2

Combine like terms: -3 + -2 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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