2(3x+1)=4x-2

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Solution for 2(3x+1)=4x-2 equation:


Simplifying
2(3x + 1) = 4x + -2

Reorder the terms:
2(1 + 3x) = 4x + -2
(1 * 2 + 3x * 2) = 4x + -2
(2 + 6x) = 4x + -2

Reorder the terms:
2 + 6x = -2 + 4x

Solving
2 + 6x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 6x + -4x = -2 + 4x + -4x

Combine like terms: 6x + -4x = 2x
2 + 2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 2x = -2 + 0
2 + 2x = -2

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

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

Combine like terms: -2 + -2 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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