9(x-1)=11-x

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Solution for 9(x-1)=11-x equation:


Simplifying
9(x + -1) = 11 + -1x

Reorder the terms:
9(-1 + x) = 11 + -1x
(-1 * 9 + x * 9) = 11 + -1x
(-9 + 9x) = 11 + -1x

Solving
-9 + 9x = 11 + -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.
-9 + 9x + x = 11 + -1x + x

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

Combine like terms: -1x + x = 0
-9 + 10x = 11 + 0
-9 + 10x = 11

Add '9' to each side of the equation.
-9 + 9 + 10x = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 10x = 11 + 9
10x = 11 + 9

Combine like terms: 11 + 9 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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