5a+3b-6a-8b+2a+6b=

Solution for 5a+3b-6a-8b+2a+6b= equation:

Simplifying
5a + 3b + -6a + -8b + 2a + 6b = 0

Reorder the terms:
5a + -6a + 2a + 3b + -8b + 6b = 0

Combine like terms: 5a + -6a = -1a
-1a + 2a + 3b + -8b + 6b = 0

Combine like terms: -1a + 2a = 1a
1a + 3b + -8b + 6b = 0

Combine like terms: 3b + -8b = -5b
1a + -5b + 6b = 0

Combine like terms: -5b + 6b = 1b
1a + 1b = 0

Solving
1a + 1b = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
1a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0
1a + 0 = 0 + -1b
1a = 0 + -1b
Remove the zero:
1a = -1b

Divide each side by '1'.
a = -1b

Simplifying
a = -1b