5a-6=2(a+1)+10a+1

Solution for 5a-6=2(a+1)+10a+1 equation:

Simplifying
5a + -6 = 2(a + 1) + 10a + 1

Reorder the terms:
-6 + 5a = 2(a + 1) + 10a + 1

Reorder the terms:
-6 + 5a = 2(1 + a) + 10a + 1
-6 + 5a = (1 * 2 + a * 2) + 10a + 1
-6 + 5a = (2 + 2a) + 10a + 1

Reorder the terms:
-6 + 5a = 2 + 1 + 2a + 10a

Combine like terms: 2 + 1 = 3
-6 + 5a = 3 + 2a + 10a

Combine like terms: 2a + 10a = 12a
-6 + 5a = 3 + 12a

Solving
-6 + 5a = 3 + 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 = 3 + 12a + -12a

Combine like terms: 5a + -12a = -7a
-6 + -7a = 3 + 12a + -12a

Combine like terms: 12a + -12a = 0
-6 + -7a = 3 + 0
-6 + -7a = 3

Add '6' to each side of the equation.
-6 + 6 + -7a = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -7a = 3 + 6
-7a = 3 + 6

Combine like terms: 3 + 6 = 9
-7a = 9

Divide each side by '-7'.
a = -1.285714286

Simplifying
a = -1.285714286