(5a-3b^2)-(6a-6)=

Solution for (5a-3b^2)-(6a-6)= equation:

Simplifying
(5a + -3b2) + -1(6a + -6) = 0

Remove parenthesis around (5a + -3b2)
5a + -3b2 + -1(6a + -6) = 0

Reorder the terms:
5a + -3b2 + -1(-6 + 6a) = 0
5a + -3b2 + (-6 * -1 + 6a * -1) = 0
5a + -3b2 + (6 + -6a) = 0

Reorder the terms:
6 + 5a + -6a + -3b2 = 0

Combine like terms: 5a + -6a = -1a
6 + -1a + -3b2 = 0

Solving
6 + -1a + -3b2 = 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 + -1a + -6 + -3b2 = 0 + -6

Reorder the terms:
6 + -6 + -1a + -3b2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a + -3b2 = 0 + -6
-1a + -3b2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1a + -3b2 = -6

Add '3b2' to each side of the equation.
-1a + -3b2 + 3b2 = -6 + 3b2

Combine like terms: -3b2 + 3b2 = 0
-1a + 0 = -6 + 3b2
-1a = -6 + 3b2

Divide each side by '-1'.
a = 6 + -3b2

Simplifying
a = 6 + -3b2