2-9(x-2)=9+11(x+1)

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Solution for 2-9(x-2)=9+11(x+1) equation:


Simplifying
2 + -9(x + -2) = 9 + 11(x + 1)

Reorder the terms:
2 + -9(-2 + x) = 9 + 11(x + 1)
2 + (-2 * -9 + x * -9) = 9 + 11(x + 1)
2 + (18 + -9x) = 9 + 11(x + 1)

Combine like terms: 2 + 18 = 20
20 + -9x = 9 + 11(x + 1)

Reorder the terms:
20 + -9x = 9 + 11(1 + x)
20 + -9x = 9 + (1 * 11 + x * 11)
20 + -9x = 9 + (11 + 11x)

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

Add '-20' to each side of the equation.
20 + -20 + -9x = 20 + -20 + 11x

Combine like terms: 20 + -20 = 0
0 + -9x = 20 + -20 + 11x
-9x = 20 + -20 + 11x

Combine like terms: 20 + -20 = 0
-9x = 0 + 11x
-9x = 11x

Solving
-9x = 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

Combine like terms: 11x + -11x = 0
-20x = 0

Divide each side by '-20'.
x = 0.0

Simplifying
x = 0.0

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