3(a-1)+2(6+2a)=8a-6-5+a

Solution for 3(a-1)+2(6+2a)=8a-6-5+a equation:

Simplifying
3(a + -1) + 2(6 + 2a) = 8a + -6 + -5 + a

Reorder the terms:
3(-1 + a) + 2(6 + 2a) = 8a + -6 + -5 + a
(-1 * 3 + a * 3) + 2(6 + 2a) = 8a + -6 + -5 + a
(-3 + 3a) + 2(6 + 2a) = 8a + -6 + -5 + a
-3 + 3a + (6 * 2 + 2a * 2) = 8a + -6 + -5 + a
-3 + 3a + (12 + 4a) = 8a + -6 + -5 + a

Reorder the terms:
-3 + 12 + 3a + 4a = 8a + -6 + -5 + a

Combine like terms: -3 + 12 = 9
9 + 3a + 4a = 8a + -6 + -5 + a

Combine like terms: 3a + 4a = 7a
9 + 7a = 8a + -6 + -5 + a

Reorder the terms:
9 + 7a = -6 + -5 + 8a + a

Combine like terms: -6 + -5 = -11
9 + 7a = -11 + 8a + a

Combine like terms: 8a + a = 9a
9 + 7a = -11 + 9a

Solving
9 + 7a = -11 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
9 + 7a + -9a = -11 + 9a + -9a

Combine like terms: 7a + -9a = -2a
9 + -2a = -11 + 9a + -9a

Combine like terms: 9a + -9a = 0
9 + -2a = -11 + 0
9 + -2a = -11

Add '-9' to each side of the equation.
9 + -9 + -2a = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -2a = -11 + -9
-2a = -11 + -9

Combine like terms: -11 + -9 = -20
-2a = -20

Divide each side by '-2'.
a = 10

Simplifying
a = 10