2[(2a+5)+(2a-5)]=32

Solution for 2[(2a+5)+(2a-5)]=32 equation:

Simplifying
2[(2a + 5) + (2a + -5)] = 32

Reorder the terms:
2[(5 + 2a) + (2a + -5)] = 32

Remove parenthesis around (5 + 2a)
2[5 + 2a + (2a + -5)] = 32

Reorder the terms:
2[5 + 2a + (-5 + 2a)] = 32

Remove parenthesis around (-5 + 2a)
2[5 + 2a + -5 + 2a] = 32

Reorder the terms:
2[5 + -5 + 2a + 2a] = 32

Combine like terms: 5 + -5 = 0
2[0 + 2a + 2a] = 32
2[2a + 2a] = 32

Combine like terms: 2a + 2a = 4a
2[4a] = 32

Remove brackets around [4a]
2 * 4a = 32

Multiply 2 * 4
8a = 32

Solving
8a = 32

Solving for variable 'a'.

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

Divide each side by '8'.
a = 4

Simplifying
a = 4