3a-[3-(5a-11)]=30

Solution for 3a-[3-(5a-11)]=30 equation:

Simplifying
3a + -1[3 + -1(5a + -11)] = 30

Reorder the terms:
3a + -1[3 + -1(-11 + 5a)] = 30
3a + -1[3 + (-11 * -1 + 5a * -1)] = 30
3a + -1[3 + (11 + -5a)] = 30

Combine like terms: 3 + 11 = 14
3a + -1[14 + -5a] = 30
3a + [14 * -1 + -5a * -1] = 30
3a + [-14 + 5a] = 30

Reorder the terms:
-14 + 3a + 5a = 30

Combine like terms: 3a + 5a = 8a
-14 + 8a = 30

Solving
-14 + 8a = 30

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + 8a = 30 + 14

Combine like terms: -14 + 14 = 0
0 + 8a = 30 + 14
8a = 30 + 14

Combine like terms: 30 + 14 = 44
8a = 44

Divide each side by '8'.
a = 5.5

Simplifying
a = 5.5