x+3=2(6x-2)

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


Simplifying
x + 3 = 2(6x + -2)

Reorder the terms:
3 + x = 2(6x + -2)

Reorder the terms:
3 + x = 2(-2 + 6x)
3 + x = (-2 * 2 + 6x * 2)
3 + x = (-4 + 12x)

Solving
3 + x = -4 + 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.
3 + x + -12x = -4 + 12x + -12x

Combine like terms: x + -12x = -11x
3 + -11x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -11x = -4 + 0
3 + -11x = -4

Add '-3' to each side of the equation.
3 + -3 + -11x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = -4 + -3
-11x = -4 + -3

Combine like terms: -4 + -3 = -7
-11x = -7

Divide each side by '-11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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