(3a+2b)-(4a-5b)=

Solution for (3a+2b)-(4a-5b)= equation:

Simplifying
(3a + 2b) + -1(4a + -5b) = 0

Remove parenthesis around (3a + 2b)
3a + 2b + -1(4a + -5b) = 0
3a + 2b + (4a * -1 + -5b * -1) = 0
3a + 2b + (-4a + 5b) = 0

Reorder the terms:
3a + -4a + 2b + 5b = 0

Combine like terms: 3a + -4a = -1a
-1a + 2b + 5b = 0

Combine like terms: 2b + 5b = 7b
-1a + 7b = 0

Solving
-1a + 7b = 0

Solving for variable 'a'.

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

Add '-7b' to each side of the equation.
-1a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
-1a + 0 = 0 + -7b
-1a = 0 + -7b
Remove the zero:
-1a = -7b

Divide each side by '-1'.
a = 7b

Simplifying
a = 7b