2(3x+1)-8+12x=2-6x

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Solution for 2(3x+1)-8+12x=2-6x equation:


Simplifying
2(3x + 1) + -8 + 12x = 2 + -6x

Reorder the terms:
2(1 + 3x) + -8 + 12x = 2 + -6x
(1 * 2 + 3x * 2) + -8 + 12x = 2 + -6x
(2 + 6x) + -8 + 12x = 2 + -6x

Reorder the terms:
2 + -8 + 6x + 12x = 2 + -6x

Combine like terms: 2 + -8 = -6
-6 + 6x + 12x = 2 + -6x

Combine like terms: 6x + 12x = 18x
-6 + 18x = 2 + -6x

Solving
-6 + 18x = 2 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-6 + 18x + 6x = 2 + -6x + 6x

Combine like terms: 18x + 6x = 24x
-6 + 24x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 24x = 2 + 0
-6 + 24x = 2

Add '6' to each side of the equation.
-6 + 6 + 24x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 24x = 2 + 6
24x = 2 + 6

Combine like terms: 2 + 6 = 8
24x = 8

Divide each side by '24'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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