5(b-6)-(3-3b)=

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

Simplifying
5(b + -6) + -1(3 + -3b) = 0

Reorder the terms:
5(-6 + b) + -1(3 + -3b) = 0
(-6 * 5 + b * 5) + -1(3 + -3b) = 0
(-30 + 5b) + -1(3 + -3b) = 0
-30 + 5b + (3 * -1 + -3b * -1) = 0
-30 + 5b + (-3 + 3b) = 0

Reorder the terms:
-30 + -3 + 5b + 3b = 0

Combine like terms: -30 + -3 = -33
-33 + 5b + 3b = 0

Combine like terms: 5b + 3b = 8b
-33 + 8b = 0

Solving
-33 + 8b = 0

Solving for variable 'b'.

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

Add '33' to each side of the equation.
-33 + 33 + 8b = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 8b = 0 + 33
8b = 0 + 33

Combine like terms: 0 + 33 = 33
8b = 33

Divide each side by '8'.
b = 4.125

Simplifying
b = 4.125