-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 = 15a
6 + 2a = 15a

Solving
6 + 2a = 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
6 + 2a + -15a = 15a + -15a

Combine like terms: 2a + -15a = -13a
6 + -13a = 15a + -15a

Combine like terms: 15a + -15a = 0
6 + -13a = 0

Add '-6' to each side of the equation.
6 + -6 + -13a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -13a = 0 + -6
-13a = 0 + -6

Combine like terms: 0 + -6 = -6
-13a = -6

Divide each side by '-13'.
a = 0.4615384615

Simplifying
a = 0.4615384615