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

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

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

Remove parenthesis around (5a + -3b)
6a + 10b + 5a + -3b = 0

Reorder the terms:
6a + 5a + 10b + -3b = 0

Combine like terms: 6a + 5a = 11a
11a + 10b + -3b = 0

Combine like terms: 10b + -3b = 7b
11a + 7b = 0

Solving
11a + 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.
11a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
11a + 0 = 0 + -7b
11a = 0 + -7b
Remove the zero:
11a = -7b

Divide each side by '11'.
a = -0.6363636364b

Simplifying
a = -0.6363636364b