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

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


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

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

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

Combine like terms: 2 + 6 = 8
8 + 6x + -1x = 2(x + -1)

Combine like terms: 6x + -1x = 5x
8 + 5x = 2(x + -1)

Reorder the terms:
8 + 5x = 2(-1 + x)
8 + 5x = (-1 * 2 + x * 2)
8 + 5x = (-2 + 2x)

Solving
8 + 5x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 5x + -2x = -2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
8 + 3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 3x = -2 + 0
8 + 3x = -2

Add '-8' to each side of the equation.
8 + -8 + 3x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = -2 + -8
3x = -2 + -8

Combine like terms: -2 + -8 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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