(x+9)+[(x+2)+9]=30

Solution for (x+9)+[(x+2)+9]=30 equation:

Simplifying
(x + 9) + [(x + 2) + 9] = 30

Reorder the terms:
(9 + x) + [(x + 2) + 9] = 30

Remove parenthesis around (9 + x)
9 + x + [(x + 2) + 9] = 30

Reorder the terms:
9 + x + [(2 + x) + 9] = 30

Remove parenthesis around (2 + x)
9 + x + [2 + x + 9] = 30

Reorder the terms:
9 + x + [2 + 9 + x] = 30

Combine like terms: 2 + 9 = 11
9 + x + [11 + x] = 30

Remove brackets around [11 + x]
9 + x + 11 + x = 30

Reorder the terms:
9 + 11 + x + x = 30

Combine like terms: 9 + 11 = 20
20 + x + x = 30

Combine like terms: x + x = 2x
20 + 2x = 30

Solving
20 + 2x = 30

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 2x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 30 + -20
2x = 30 + -20

Combine like terms: 30 + -20 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5