10-2(x+1)=-x

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Solution for 10-2(x+1)=-x equation: 


Simplifying
10 + -2(x + 1) = -1x

Reorder the terms:
10 + -2(1 + x) = -1x
10 + (1 * -2 + x * -2) = -1x
10 + (-2 + -2x) = -1x

Combine like terms: 10 + -2 = 8
8 + -2x = -1x

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

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

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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