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

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

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

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

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

Multiply -5 * 2
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