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

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


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

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

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

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

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

Combine like terms: 6 + 12 = 18
3 + -1x = 18 + 2x

Solving
3 + -1x = 18 + 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.
3 + -1x + -2x = 18 + 2x + -2x

Combine like terms: -1x + -2x = -3x
3 + -3x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -3x = 18 + 0
3 + -3x = 18

Add '-3' to each side of the equation.
3 + -3 + -3x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 18 + -3
-3x = 18 + -3

Combine like terms: 18 + -3 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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