(3x+2)-11=(22-1x)-11

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Solution for (3x+2)-11=(22-1x)-11 equation:


Simplifying
(3x + 2) + -11 = (22 + -1x) + -11

Reorder the terms:
(2 + 3x) + -11 = (22 + -1x) + -11

Remove parenthesis around (2 + 3x)
2 + 3x + -11 = (22 + -1x) + -11

Reorder the terms:
2 + -11 + 3x = (22 + -1x) + -11

Combine like terms: 2 + -11 = -9
-9 + 3x = (22 + -1x) + -11

Remove parenthesis around (22 + -1x)
-9 + 3x = 22 + -1x + -11

Reorder the terms:
-9 + 3x = 22 + -11 + -1x

Combine like terms: 22 + -11 = 11
-9 + 3x = 11 + -1x

Solving
-9 + 3x = 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 + 3x + x = 11 + -1x + x

Combine like terms: 3x + x = 4x
-9 + 4x = 11 + -1x + x

Combine like terms: -1x + x = 0
-9 + 4x = 11 + 0
-9 + 4x = 11

Add '9' to each side of the equation.
-9 + 9 + 4x = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 11 + 9
4x = 11 + 9

Combine like terms: 11 + 9 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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