2(3+x)+2(2+y)=16

Solution for 2(3+x)+2(2+y)=16 equation:

Simplifying
2(3 + x) + 2(2 + y) = 16
(3 * 2 + x * 2) + 2(2 + y) = 16
(6 + 2x) + 2(2 + y) = 16
6 + 2x + (2 * 2 + y * 2) = 16
6 + 2x + (4 + 2y) = 16

Reorder the terms:
6 + 4 + 2x + 2y = 16

Combine like terms: 6 + 4 = 10
10 + 2x + 2y = 16

Solving
10 + 2x + 2y = 16

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 2x + -10 + 2y = 16 + -10

Reorder the terms:
10 + -10 + 2x + 2y = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 2x + 2y = 16 + -10
2x + 2y = 16 + -10

Combine like terms: 16 + -10 = 6
2x + 2y = 6

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

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

Divide each side by '2'.
x = 3 + -1y

Simplifying
x = 3 + -1y