-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 = 2a
6 + 2a = 7a + -8a

Combine like terms: 7a + -8a = -1a
6 + 2a = -1a

Solving
6 + 2a = -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 + 2a + a = -1a + a

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

Combine like terms: -1a + a = 0
6 + 3a = 0

Add '-6' to each side of the equation.
6 + -6 + 3a = 0 + -6

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

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

Divide each side by '3'.
a = -2

Simplifying
a = -2