2a-6=2(a+1)+8a+1

Solution for 2a-6=2(a+1)+8a+1 equation:

Simplifying
2a + -6 = 2(a + 1) + 8a + 1

Reorder the terms:
-6 + 2a = 2(a + 1) + 8a + 1

Reorder the terms:
-6 + 2a = 2(1 + a) + 8a + 1
-6 + 2a = (1 * 2 + a * 2) + 8a + 1
-6 + 2a = (2 + 2a) + 8a + 1

Reorder the terms:
-6 + 2a = 2 + 1 + 2a + 8a

Combine like terms: 2 + 1 = 3
-6 + 2a = 3 + 2a + 8a

Combine like terms: 2a + 8a = 10a
-6 + 2a = 3 + 10a

Solving
-6 + 2a = 3 + 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 + 2a + -10a = 3 + 10a + -10a

Combine like terms: 2a + -10a = -8a
-6 + -8a = 3 + 10a + -10a

Combine like terms: 10a + -10a = 0
-6 + -8a = 3 + 0
-6 + -8a = 3

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

Combine like terms: -6 + 6 = 0
0 + -8a = 3 + 6
-8a = 3 + 6

Combine like terms: 3 + 6 = 9
-8a = 9

Divide each side by '-8'.
a = -1.125

Simplifying
a = -1.125