(3a+8b)-(4a+5b)=

Solution for (3a+8b)-(4a+5b)= equation:

Simplifying
(3a + 8b) + -1(4a + 5b) = 0

Remove parenthesis around (3a + 8b)
3a + 8b + -1(4a + 5b) = 0
3a + 8b + (4a * -1 + 5b * -1) = 0
3a + 8b + (-4a + -5b) = 0

Reorder the terms:
3a + -4a + 8b + -5b = 0

Combine like terms: 3a + -4a = -1a
-1a + 8b + -5b = 0

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

Solving
-1a + 3b = 0

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
-1a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
-1a + 0 = 0 + -3b
-1a = 0 + -3b
Remove the zero:
-1a = -3b

Divide each side by '-1'.
a = 3b

Simplifying
a = 3b