6(a+1)=5[a-(3-6)]

Solution for 6(a+1)=5[a-(3-6)] equation:

Simplifying
6(a + 1) = 5[a + -1(3 + -6)]

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

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

Multiply -1 * -3
6 + 6a = 5[a + 3]

Reorder the terms:
6 + 6a = 5[3 + a]
6 + 6a = [3 * 5 + a * 5]
6 + 6a = [15 + 5a]

Solving
6 + 6a = 15 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + 6a + -5a = 15 + 5a + -5a

Combine like terms: 6a + -5a = 1a
6 + 1a = 15 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + 1a = 15 + 0
6 + 1a = 15

Add '-6' to each side of the equation.
6 + -6 + 1a = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 15 + -6
1a = 15 + -6

Combine like terms: 15 + -6 = 9
1a = 9

Divide each side by '1'.
a = 9

Simplifying
a = 9