(5a+7b-3)+(3b-2a+9)=

Solution for (5a+7b-3)+(3b-2a+9)= equation:

Simplifying
(5a + 7b + -3) + (3b + -2a + 9) = 0

Reorder the terms:
(-3 + 5a + 7b) + (3b + -2a + 9) = 0

Remove parenthesis around (-3 + 5a + 7b)
-3 + 5a + 7b + (3b + -2a + 9) = 0

Reorder the terms:
-3 + 5a + 7b + (9 + -2a + 3b) = 0

Remove parenthesis around (9 + -2a + 3b)
-3 + 5a + 7b + 9 + -2a + 3b = 0

Reorder the terms:
-3 + 9 + 5a + -2a + 7b + 3b = 0

Combine like terms: -3 + 9 = 6
6 + 5a + -2a + 7b + 3b = 0

Combine like terms: 5a + -2a = 3a
6 + 3a + 7b + 3b = 0

Combine like terms: 7b + 3b = 10b
6 + 3a + 10b = 0

Solving
6 + 3a + 10b = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + 3a + -6 + 10b = 0 + -6

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

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

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

Add '-10b' to each side of the equation.
3a + 10b + -10b = -6 + -10b

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

Divide each side by '3'.
a = -2 + -3.333333333b

Simplifying
a = -2 + -3.333333333b