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

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


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

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

Combine like terms: 2x + -1x = 1x
6 + 1x = -3(2x + -4)

Reorder the terms:
6 + 1x = -3(-4 + 2x)
6 + 1x = (-4 * -3 + 2x * -3)
6 + 1x = (12 + -6x)

Solving
6 + 1x = 12 + -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 + 1x + 6x = 12 + -6x + 6x

Combine like terms: 1x + 6x = 7x
6 + 7x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 7x = 12 + 0
6 + 7x = 12

Add '-6' to each side of the equation.
6 + -6 + 7x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 12 + -6
7x = 12 + -6

Combine like terms: 12 + -6 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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