(6+x+y)+x+y=32

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Solution for (6+x+y)+x+y=32 equation:


Simplifying
(6 + x + y) + x + y = 32

Remove parenthesis around (6 + x + y)
6 + x + y + x + y = 32

Reorder the terms:
6 + x + x + y + y = 32

Combine like terms: x + x = 2x
6 + 2x + y + y = 32

Combine like terms: y + y = 2y
6 + 2x + 2y = 32

Solving
6 + 2x + 2y = 32

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 2x + -6 + 2y = 32 + -6

Reorder the terms:
6 + -6 + 2x + 2y = 32 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + 2y = 32 + -6
2x + 2y = 32 + -6

Combine like terms: 32 + -6 = 26
2x + 2y = 26

Add '-2y' to each side of the equation.
2x + 2y + -2y = 26 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 26 + -2y
2x = 26 + -2y

Divide each side by '2'.
x = 13 + -1y

Simplifying
x = 13 + -1y

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