3(3b+1)=2(7b-21)

Solution for 3(3b+1)=2(7b-21) equation:

Simplifying
3(3b + 1) = 2(7b + -21)

Reorder the terms:
3(1 + 3b) = 2(7b + -21)
(1 * 3 + 3b * 3) = 2(7b + -21)
(3 + 9b) = 2(7b + -21)

Reorder the terms:
3 + 9b = 2(-21 + 7b)
3 + 9b = (-21 * 2 + 7b * 2)
3 + 9b = (-42 + 14b)

Solving
3 + 9b = -42 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
3 + 9b + -14b = -42 + 14b + -14b

Combine like terms: 9b + -14b = -5b
3 + -5b = -42 + 14b + -14b

Combine like terms: 14b + -14b = 0
3 + -5b = -42 + 0
3 + -5b = -42

Add '-3' to each side of the equation.
3 + -3 + -5b = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -5b = -42 + -3
-5b = -42 + -3

Combine like terms: -42 + -3 = -45
-5b = -45

Divide each side by '-5'.
b = 9

Simplifying
b = 9