[(3a+6)+(8a-3)]-[(2a-6)-(5a-9)]=

Solution for [(3a+6)+(8a-3)]-[(2a-6)-(5a-9)]= equation:

Simplifying
[(3a + 6) + (8a + -3)] + -1[(2a + -6) + -1(5a + -9)] = 0

Reorder the terms:
[(6 + 3a) + (8a + -3)] + -1[(2a + -6) + -1(5a + -9)] = 0

Remove parenthesis around (6 + 3a)
[6 + 3a + (8a + -3)] + -1[(2a + -6) + -1(5a + -9)] = 0

Reorder the terms:
[6 + 3a + (-3 + 8a)] + -1[(2a + -6) + -1(5a + -9)] = 0

Remove parenthesis around (-3 + 8a)
[6 + 3a + -3 + 8a] + -1[(2a + -6) + -1(5a + -9)] = 0

Reorder the terms:
[6 + -3 + 3a + 8a] + -1[(2a + -6) + -1(5a + -9)] = 0

Combine like terms: 6 + -3 = 3
[3 + 3a + 8a] + -1[(2a + -6) + -1(5a + -9)] = 0

Combine like terms: 3a + 8a = 11a
[3 + 11a] + -1[(2a + -6) + -1(5a + -9)] = 0

Remove brackets around [3 + 11a]
3 + 11a + -1[(2a + -6) + -1(5a + -9)] = 0

Reorder the terms:
3 + 11a + -1[(-6 + 2a) + -1(5a + -9)] = 0

Remove parenthesis around (-6 + 2a)
3 + 11a + -1[-6 + 2a + -1(5a + -9)] = 0

Reorder the terms:
3 + 11a + -1[-6 + 2a + -1(-9 + 5a)] = 0
3 + 11a + -1[-6 + 2a + (-9 * -1 + 5a * -1)] = 0
3 + 11a + -1[-6 + 2a + (9 + -5a)] = 0

Reorder the terms:
3 + 11a + -1[-6 + 9 + 2a + -5a] = 0

Combine like terms: -6 + 9 = 3
3 + 11a + -1[3 + 2a + -5a] = 0

Combine like terms: 2a + -5a = -3a
3 + 11a + -1[3 + -3a] = 0
3 + 11a + [3 * -1 + -3a * -1] = 0
3 + 11a + [-3 + 3a] = 0

Reorder the terms:
3 + -3 + 11a + 3a = 0

Combine like terms: 3 + -3 = 0
0 + 11a + 3a = 0
11a + 3a = 0

Combine like terms: 11a + 3a = 14a
14a = 0

Solving
14a = 0

Solving for variable 'a'.

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

Divide each side by '14'.
a = 0

Simplifying
a = 0