-5a+6+8a=7a-2a

Solution for -5a+6+8a=7a-2a equation:

Simplifying
-5a + 6 + 8a = 7a + -2a

Reorder the terms:
6 + -5a + 8a = 7a + -2a

Combine like terms: -5a + 8a = 3a
6 + 3a = 7a + -2a

Combine like terms: 7a + -2a = 5a
6 + 3a = 5a

Solving
6 + 3a = 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + 3a + -5a = 5a + -5a

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

Combine like terms: 5a + -5a = 0
6 + -2a = 0

Add '-6' to each side of the equation.
6 + -6 + -2a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = 0 + -6
-2a = 0 + -6

Combine like terms: 0 + -6 = -6
-2a = -6

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

Simplifying
a = 3