(8a+4)-1=(6a-6)+11

Solution for (8a+4)-1=(6a-6)+11 equation:

Simplifying
(8a + 4) + -1 = (6a + -6) + 11

Reorder the terms:
(4 + 8a) + -1 = (6a + -6) + 11

Remove parenthesis around (4 + 8a)
4 + 8a + -1 = (6a + -6) + 11

Reorder the terms:
4 + -1 + 8a = (6a + -6) + 11

Combine like terms: 4 + -1 = 3
3 + 8a = (6a + -6) + 11

Reorder the terms:
3 + 8a = (-6 + 6a) + 11

Remove parenthesis around (-6 + 6a)
3 + 8a = -6 + 6a + 11

Reorder the terms:
3 + 8a = -6 + 11 + 6a

Combine like terms: -6 + 11 = 5
3 + 8a = 5 + 6a

Solving
3 + 8a = 5 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
3 + 8a + -6a = 5 + 6a + -6a

Combine like terms: 8a + -6a = 2a
3 + 2a = 5 + 6a + -6a

Combine like terms: 6a + -6a = 0
3 + 2a = 5 + 0
3 + 2a = 5

Add '-3' to each side of the equation.
3 + -3 + 2a = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 2a = 5 + -3
2a = 5 + -3

Combine like terms: 5 + -3 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1