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

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


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

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

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

Reorder the terms:
12 + 6x = 6 + 2x + -3x

Combine like terms: 2x + -3x = -1x
12 + 6x = 6 + -1x

Solving
12 + 6x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
12 + 6x + x = 6 + -1x + x

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

Combine like terms: -1x + x = 0
12 + 7x = 6 + 0
12 + 7x = 6

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

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

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

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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