3a-6=5(a+1)+11a+5

Solution for 3a-6=5(a+1)+11a+5 equation:

Simplifying
3a + -6 = 5(a + 1) + 11a + 5

Reorder the terms:
-6 + 3a = 5(a + 1) + 11a + 5

Reorder the terms:
-6 + 3a = 5(1 + a) + 11a + 5
-6 + 3a = (1 * 5 + a * 5) + 11a + 5
-6 + 3a = (5 + 5a) + 11a + 5

Reorder the terms:
-6 + 3a = 5 + 5 + 5a + 11a

Combine like terms: 5 + 5 = 10
-6 + 3a = 10 + 5a + 11a

Combine like terms: 5a + 11a = 16a
-6 + 3a = 10 + 16a

Solving
-6 + 3a = 10 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
-6 + 3a + -16a = 10 + 16a + -16a

Combine like terms: 3a + -16a = -13a
-6 + -13a = 10 + 16a + -16a

Combine like terms: 16a + -16a = 0
-6 + -13a = 10 + 0
-6 + -13a = 10

Add '6' to each side of the equation.
-6 + 6 + -13a = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -13a = 10 + 6
-13a = 10 + 6

Combine like terms: 10 + 6 = 16
-13a = 16

Divide each side by '-13'.
a = -1.230769231

Simplifying
a = -1.230769231