2*(x-1)=3(-x-20-2x)-6x

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Solution for 2*(x-1)=3(-x-20-2x)-6x equation:


Simplifying
2(x + -1) = 3(-1x + -20 + -2x) + -6x

Reorder the terms:
2(-1 + x) = 3(-1x + -20 + -2x) + -6x
(-1 * 2 + x * 2) = 3(-1x + -20 + -2x) + -6x
(-2 + 2x) = 3(-1x + -20 + -2x) + -6x

Reorder the terms:
-2 + 2x = 3(-20 + -1x + -2x) + -6x

Combine like terms: -1x + -2x = -3x
-2 + 2x = 3(-20 + -3x) + -6x
-2 + 2x = (-20 * 3 + -3x * 3) + -6x
-2 + 2x = (-60 + -9x) + -6x

Combine like terms: -9x + -6x = -15x
-2 + 2x = -60 + -15x

Solving
-2 + 2x = -60 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-2 + 2x + 15x = -60 + -15x + 15x

Combine like terms: 2x + 15x = 17x
-2 + 17x = -60 + -15x + 15x

Combine like terms: -15x + 15x = 0
-2 + 17x = -60 + 0
-2 + 17x = -60

Add '2' to each side of the equation.
-2 + 2 + 17x = -60 + 2

Combine like terms: -2 + 2 = 0
0 + 17x = -60 + 2
17x = -60 + 2

Combine like terms: -60 + 2 = -58
17x = -58

Divide each side by '17'.
x = -3.411764706

Simplifying
x = -3.411764706

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