2(x-1)=6-(x+9)

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Solution for 2(x-1)=6-(x+9) equation:


Simplifying
2(x + -1) = 6 + -1(x + 9)

Reorder the terms:
2(-1 + x) = 6 + -1(x + 9)
(-1 * 2 + x * 2) = 6 + -1(x + 9)
(-2 + 2x) = 6 + -1(x + 9)

Reorder the terms:
-2 + 2x = 6 + -1(9 + x)
-2 + 2x = 6 + (9 * -1 + x * -1)
-2 + 2x = 6 + (-9 + -1x)

Combine like terms: 6 + -9 = -3
-2 + 2x = -3 + -1x

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

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

Combine like terms: -1x + x = 0
-2 + 3x = -3 + 0
-2 + 3x = -3

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

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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