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

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

Simplifying
3(5b + 2) + -1b = 4(b + 9)

Reorder the terms:
3(2 + 5b) + -1b = 4(b + 9)
(2 * 3 + 5b * 3) + -1b = 4(b + 9)
(6 + 15b) + -1b = 4(b + 9)

Combine like terms: 15b + -1b = 14b
6 + 14b = 4(b + 9)

Reorder the terms:
6 + 14b = 4(9 + b)
6 + 14b = (9 * 4 + b * 4)
6 + 14b = (36 + 4b)

Solving
6 + 14b = 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 + 14b + -4b = 36 + 4b + -4b

Combine like terms: 14b + -4b = 10b
6 + 10b = 36 + 4b + -4b

Combine like terms: 4b + -4b = 0
6 + 10b = 36 + 0
6 + 10b = 36

Add '-6' to each side of the equation.
6 + -6 + 10b = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 10b = 36 + -6
10b = 36 + -6

Combine like terms: 36 + -6 = 30
10b = 30

Divide each side by '10'.
b = 3

Simplifying
b = 3