3(b+2)=3(3b+1)

Solution for 3(b+2)=3(3b+1) equation:

Simplifying
3(b + 2) = 3(3b + 1)

Reorder the terms:
3(2 + b) = 3(3b + 1)
(2 * 3 + b * 3) = 3(3b + 1)
(6 + 3b) = 3(3b + 1)

Reorder the terms:
6 + 3b = 3(1 + 3b)
6 + 3b = (1 * 3 + 3b * 3)
6 + 3b = (3 + 9b)

Solving
6 + 3b = 3 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
6 + 3b + -9b = 3 + 9b + -9b

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

Combine like terms: 9b + -9b = 0
6 + -6b = 3 + 0
6 + -6b = 3

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

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

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

Divide each side by '-6'.
b = 0.5

Simplifying
b = 0.5