2(x+1)=-(x-8)

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Solution for 2(x+1)=-(x-8) equation: 


Simplifying
2(x + 1) = -1(x + -8)

Reorder the terms:
2(1 + x) = -1(x + -8)
(1 * 2 + x * 2) = -1(x + -8)
(2 + 2x) = -1(x + -8)

Reorder the terms:
2 + 2x = -1(-8 + x)
2 + 2x = (-8 * -1 + x * -1)
2 + 2x = (8 + -1x)

Solving
2 + 2x = 8 + -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 = 8 + -1x + x

Combine like terms: 2x + x = 3x
2 + 3x = 8 + -1x + x

Combine like terms: -1x + x = 0
2 + 3x = 8 + 0
2 + 3x = 8

Add '-2' to each side of the equation.
2 + -2 + 3x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 8 + -2
3x = 8 + -2

Combine like terms: 8 + -2 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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