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

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

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

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

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

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

Solving
6 + 2a = -8 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
6 + 2a + -7a = -8 + 7a + -7a

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

Combine like terms: 7a + -7a = 0
6 + -5a = -8 + 0
6 + -5a = -8

Add '-6' to each side of the equation.
6 + -6 + -5a = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -5a = -8 + -6
-5a = -8 + -6

Combine like terms: -8 + -6 = -14
-5a = -14

Divide each side by '-5'.
a = 2.8

Simplifying
a = 2.8