3(5b+2)=4(b+9)

Solution for 3(5b+2)=4(b+9) equation:

Simplifying
3(5b + 2) = 4(b + 9)

Reorder the terms:
3(2 + 5b) = 4(b + 9)
(2 * 3 + 5b * 3) = 4(b + 9)
(6 + 15b) = 4(b + 9)

Reorder the terms:
6 + 15b = 4(9 + b)
6 + 15b = (9 * 4 + b * 4)
6 + 15b = (36 + 4b)

Solving
6 + 15b = 36 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
6 + 15b + -4b = 36 + 4b + -4b

Combine like terms: 15b + -4b = 11b
6 + 11b = 36 + 4b + -4b

Combine like terms: 4b + -4b = 0
6 + 11b = 36 + 0
6 + 11b = 36

Add '-6' to each side of the equation.
6 + -6 + 11b = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 11b = 36 + -6
11b = 36 + -6

Combine like terms: 36 + -6 = 30
11b = 30

Divide each side by '11'.
b = 2.727272727

Simplifying
b = 2.727272727