2(-3a+5b)-(9b-5a)=

Solution for 2(-3a+5b)-(9b-5a)= equation:

Simplifying
2(-3a + 5b) + -1(9b + -5a) = 0
(-3a * 2 + 5b * 2) + -1(9b + -5a) = 0
(-6a + 10b) + -1(9b + -5a) = 0

Reorder the terms:
-6a + 10b + -1(-5a + 9b) = 0
-6a + 10b + (-5a * -1 + 9b * -1) = 0
-6a + 10b + (5a + -9b) = 0

Reorder the terms:
-6a + 5a + 10b + -9b = 0

Combine like terms: -6a + 5a = -1a
-1a + 10b + -9b = 0

Combine like terms: 10b + -9b = 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 = b

Simplifying
a = b