6(x+1)=2(2x-1)

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


Simplifying
6(x + 1) = 2(2x + -1)

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

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

Solving
6 + 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.
6 + 6x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + 2x = -2 + 0
6 + 2x = -2

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

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

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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