(5x+11)=(83-x)

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Solution for (5x+11)=(83-x) equation:


Simplifying
(5x + 11) = (83 + -1x)

Reorder the terms:
(11 + 5x) = (83 + -1x)

Remove parenthesis around (11 + 5x)
11 + 5x = (83 + -1x)

Remove parenthesis around (83 + -1x)
11 + 5x = 83 + -1x

Solving
11 + 5x = 83 + -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.
11 + 5x + x = 83 + -1x + x

Combine like terms: 5x + x = 6x
11 + 6x = 83 + -1x + x

Combine like terms: -1x + x = 0
11 + 6x = 83 + 0
11 + 6x = 83

Add '-11' to each side of the equation.
11 + -11 + 6x = 83 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = 83 + -11
6x = 83 + -11

Combine like terms: 83 + -11 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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