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

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

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

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

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

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

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

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

Solving
4a + -1b = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
4a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
4a + 0 = 0 + b
4a = 0 + b
Remove the zero:
4a = b

Divide each side by '4'.
a = 0.25b

Simplifying
a = 0.25b