3(9x+2)-9=11(3-x)+2x

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Solution for 3(9x+2)-9=11(3-x)+2x equation: 


Simplifying
3(9x + 2) + -9 = 11(3 + -1x) + 2x

Reorder the terms:
3(2 + 9x) + -9 = 11(3 + -1x) + 2x
(2 * 3 + 9x * 3) + -9 = 11(3 + -1x) + 2x
(6 + 27x) + -9 = 11(3 + -1x) + 2x

Reorder the terms:
6 + -9 + 27x = 11(3 + -1x) + 2x

Combine like terms: 6 + -9 = -3
-3 + 27x = 11(3 + -1x) + 2x
-3 + 27x = (3 * 11 + -1x * 11) + 2x
-3 + 27x = (33 + -11x) + 2x

Combine like terms: -11x + 2x = -9x
-3 + 27x = 33 + -9x

Solving
-3 + 27x = 33 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-3 + 27x + 9x = 33 + -9x + 9x

Combine like terms: 27x + 9x = 36x
-3 + 36x = 33 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 36x = 33 + 0
-3 + 36x = 33

Add '3' to each side of the equation.
-3 + 3 + 36x = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 36x = 33 + 3
36x = 33 + 3

Combine like terms: 33 + 3 = 36
36x = 36

Divide each side by '36'.
x = 1

Simplifying
x = 1

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