6(3b+5)=2(6-21)

Solution for 6(3b+5)=2(6-21) equation:

Simplifying
6(3b + 5) = 2(6 + -21)

Reorder the terms:
6(5 + 3b) = 2(6 + -21)
(5 * 6 + 3b * 6) = 2(6 + -21)
(30 + 18b) = 2(6 + -21)

Combine like terms: 6 + -21 = -15
30 + 18b = 2(-15)

Multiply 2 * -15
30 + 18b = -30

Solving
30 + 18b = -30

Solving for variable 'b'.

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

Add '-30' to each side of the equation.
30 + -30 + 18b = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 18b = -30 + -30
18b = -30 + -30

Combine like terms: -30 + -30 = -60
18b = -60

Divide each side by '18'.
b = -3.333333333

Simplifying
b = -3.333333333