9-2(x-1)=10-x

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Solution for 9-2(x-1)=10-x equation: 


Simplifying
9 + -2(x + -1) = 10 + -1x

Reorder the terms:
9 + -2(-1 + x) = 10 + -1x
9 + (-1 * -2 + x * -2) = 10 + -1x
9 + (2 + -2x) = 10 + -1x

Combine like terms: 9 + 2 = 11
11 + -2x = 10 + -1x

Solving
11 + -2x = 10 + -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.
11 + -2x + x = 10 + -1x + x

Combine like terms: -2x + x = -1x
11 + -1x = 10 + -1x + x

Combine like terms: -1x + x = 0
11 + -1x = 10 + 0
11 + -1x = 10

Add '-11' to each side of the equation.
11 + -11 + -1x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 10 + -11
-1x = 10 + -11

Combine like terms: 10 + -11 = -1
-1x = -1

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

Simplifying
x = 1

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