3a+6+5a=7a-8a

Solution for 3a+6+5a=7a-8a equation:

Simplifying
3a + 6 + 5a = 7a + -8a

Reorder the terms:
6 + 3a + 5a = 7a + -8a

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

Combine like terms: 7a + -8a = -1a
6 + 8a = -1a

Solving
6 + 8a = -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + 8a + a = -1a + a

Combine like terms: 8a + a = 9a
6 + 9a = -1a + a

Combine like terms: -1a + a = 0
6 + 9a = 0

Add '-6' to each side of the equation.
6 + -6 + 9a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = 0 + -6
9a = 0 + -6

Combine like terms: 0 + -6 = -6
9a = -6

Divide each side by '9'.
a = -0.6666666667

Simplifying
a = -0.6666666667