5a-6=3(a+1)+9a+1

Solution for 5a-6=3(a+1)+9a+1 equation:

Simplifying
5a + -6 = 3(a + 1) + 9a + 1

Reorder the terms:
-6 + 5a = 3(a + 1) + 9a + 1

Reorder the terms:
-6 + 5a = 3(1 + a) + 9a + 1
-6 + 5a = (1 * 3 + a * 3) + 9a + 1
-6 + 5a = (3 + 3a) + 9a + 1

Reorder the terms:
-6 + 5a = 3 + 1 + 3a + 9a

Combine like terms: 3 + 1 = 4
-6 + 5a = 4 + 3a + 9a

Combine like terms: 3a + 9a = 12a
-6 + 5a = 4 + 12a

Solving
-6 + 5a = 4 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-6 + 5a + -12a = 4 + 12a + -12a

Combine like terms: 5a + -12a = -7a
-6 + -7a = 4 + 12a + -12a

Combine like terms: 12a + -12a = 0
-6 + -7a = 4 + 0
-6 + -7a = 4

Add '6' to each side of the equation.
-6 + 6 + -7a = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -7a = 4 + 6
-7a = 4 + 6

Combine like terms: 4 + 6 = 10
-7a = 10

Divide each side by '-7'.
a = -1.428571429

Simplifying
a = -1.428571429