2(x+(x+2))=52

Solution for 2(x+(x+2))=52 equation:

Simplifying
2(x + (x + 2)) = 52

Reorder the terms:
2(x + (2 + x)) = 52

Remove parenthesis around (2 + x)
2(x + 2 + x) = 52

Reorder the terms:
2(2 + x + x) = 52

Combine like terms: x + x = 2x
2(2 + 2x) = 52
(2 * 2 + 2x * 2) = 52
(4 + 4x) = 52

Solving
4 + 4x = 52

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 4x = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 52 + -4
4x = 52 + -4

Combine like terms: 52 + -4 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12