(4a+6b)-(5a+8b)=0

Solution for (4a+6b)-(5a+8b)=0 equation:

Simplifying
(4a + 6b) + -1(5a + 8b) = 0

Remove parenthesis around (4a + 6b)
4a + 6b + -1(5a + 8b) = 0
4a + 6b + (5a * -1 + 8b * -1) = 0
4a + 6b + (-5a + -8b) = 0

Reorder the terms:
4a + -5a + 6b + -8b = 0

Combine like terms: 4a + -5a = -1a
-1a + 6b + -8b = 0

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

Solving
-1a + -2b = 0

Solving for variable 'a'.

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

Add '2b' to each side of the equation.
-1a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
-1a + 0 = 0 + 2b
-1a = 0 + 2b
Remove the zero:
-1a = 2b

Divide each side by '-1'.
a = -2b

Simplifying
a = -2b