(9x+21)=(11x-1)

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Solution for (9x+21)=(11x-1) equation:


Simplifying
(9x + 21) = (11x + -1)

Reorder the terms:
(21 + 9x) = (11x + -1)

Remove parenthesis around (21 + 9x)
21 + 9x = (11x + -1)

Reorder the terms:
21 + 9x = (-1 + 11x)

Remove parenthesis around (-1 + 11x)
21 + 9x = -1 + 11x

Solving
21 + 9x = -1 + 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.
21 + 9x + -11x = -1 + 11x + -11x

Combine like terms: 9x + -11x = -2x
21 + -2x = -1 + 11x + -11x

Combine like terms: 11x + -11x = 0
21 + -2x = -1 + 0
21 + -2x = -1

Add '-21' to each side of the equation.
21 + -21 + -2x = -1 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = -1 + -21
-2x = -1 + -21

Combine like terms: -1 + -21 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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