5a-6=(a+1)+9a+1

Solution for 5a-6=(a+1)+9a+1 equation:

Simplifying
5a + -6 = (a + 1) + 9a + 1

Reorder the terms:
-6 + 5a = (a + 1) + 9a + 1

Reorder the terms:
-6 + 5a = (1 + a) + 9a + 1

Remove parenthesis around (1 + a)
-6 + 5a = 1 + a + 9a + 1

Reorder the terms:
-6 + 5a = 1 + 1 + a + 9a

Combine like terms: 1 + 1 = 2
-6 + 5a = 2 + a + 9a

Combine like terms: a + 9a = 10a
-6 + 5a = 2 + 10a

Solving
-6 + 5a = 2 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-6 + 5a + -10a = 2 + 10a + -10a

Combine like terms: 5a + -10a = -5a
-6 + -5a = 2 + 10a + -10a

Combine like terms: 10a + -10a = 0
-6 + -5a = 2 + 0
-6 + -5a = 2

Add '6' to each side of the equation.
-6 + 6 + -5a = 2 + 6

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

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

Divide each side by '-5'.
a = -1.6

Simplifying
a = -1.6