(b+13)3=2(-5b)

Solution for (b+13)3=2(-5b) equation:

Simplifying
(b + 13) * 3 = 2(-5b)

Reorder the terms:
(13 + b) * 3 = 2(-5b)

Reorder the terms for easier multiplication:
3(13 + b) = 2(-5b)
(13 * 3 + b * 3) = 2(-5b)
(39 + 3b) = 2(-5b)

Remove parenthesis around (-5b)
39 + 3b = 2 * -5b

Multiply 2 * -5
39 + 3b = -10b

Solving
39 + 3b = -10b

Solving for variable 'b'.

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

Add '10b' to each side of the equation.
39 + 3b + 10b = -10b + 10b

Combine like terms: 3b + 10b = 13b
39 + 13b = -10b + 10b

Combine like terms: -10b + 10b = 0
39 + 13b = 0

Add '-39' to each side of the equation.
39 + -39 + 13b = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 13b = 0 + -39
13b = 0 + -39

Combine like terms: 0 + -39 = -39
13b = -39

Divide each side by '13'.
b = -3

Simplifying
b = -3