5(3b-3)-3(3b-7)=12

Solution for 5(3b-3)-3(3b-7)=12 equation:

Simplifying
5(3b + -3) + -3(3b + -7) = 12

Reorder the terms:
5(-3 + 3b) + -3(3b + -7) = 12
(-3 * 5 + 3b * 5) + -3(3b + -7) = 12
(-15 + 15b) + -3(3b + -7) = 12

Reorder the terms:
-15 + 15b + -3(-7 + 3b) = 12
-15 + 15b + (-7 * -3 + 3b * -3) = 12
-15 + 15b + (21 + -9b) = 12

Reorder the terms:
-15 + 21 + 15b + -9b = 12

Combine like terms: -15 + 21 = 6
6 + 15b + -9b = 12

Combine like terms: 15b + -9b = 6b
6 + 6b = 12

Solving
6 + 6b = 12

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + 6b = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6b = 12 + -6
6b = 12 + -6

Combine like terms: 12 + -6 = 6
6b = 6

Divide each side by '6'.
b = 1

Simplifying
b = 1