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

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

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

Reorder the terms:
(2 + 3a + -3b) + -1(4a + 5b) = 0

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

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

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

Combine like terms: -3b + -5b = -8b
2 + -1a + -8b = 0

Solving
2 + -1a + -8b = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -1a + -2 + -8b = 0 + -2

Reorder the terms:
2 + -2 + -1a + -8b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a + -8b = 0 + -2
-1a + -8b = 0 + -2

Combine like terms: 0 + -2 = -2
-1a + -8b = -2

Add '8b' to each side of the equation.
-1a + -8b + 8b = -2 + 8b

Combine like terms: -8b + 8b = 0
-1a + 0 = -2 + 8b
-1a = -2 + 8b

Divide each side by '-1'.
a = 2 + -8b

Simplifying
a = 2 + -8b