3(3b-2)=2(3b+3)

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

Simplifying
3(3b + -2) = 2(3b + 3)

Reorder the terms:
3(-2 + 3b) = 2(3b + 3)
(-2 * 3 + 3b * 3) = 2(3b + 3)
(-6 + 9b) = 2(3b + 3)

Reorder the terms:
-6 + 9b = 2(3 + 3b)
-6 + 9b = (3 * 2 + 3b * 2)
-6 + 9b = (6 + 6b)

Solving
-6 + 9b = 6 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-6 + 9b + -6b = 6 + 6b + -6b

Combine like terms: 9b + -6b = 3b
-6 + 3b = 6 + 6b + -6b

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

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

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

Combine like terms: 6 + 6 = 12
3b = 12

Divide each side by '3'.
b = 4

Simplifying
b = 4