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

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

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

Reorder the terms:
2((2 + x) + (x + 3)) = 16

Remove parenthesis around (2 + x)
2(2 + x + (x + 3)) = 16

Reorder the terms:
2(2 + x + (3 + x)) = 16

Remove parenthesis around (3 + x)
2(2 + x + 3 + x) = 16

Reorder the terms:
2(2 + 3 + x + x) = 16

Combine like terms: 2 + 3 = 5
2(5 + x + x) = 16

Combine like terms: x + x = 2x
2(5 + 2x) = 16
(5 * 2 + 2x * 2) = 16
(10 + 4x) = 16

Solving
10 + 4x = 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 + -10 + 4x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 16 + -10
4x = 16 + -10

Combine like terms: 16 + -10 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5