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

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

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

Remove parenthesis around (-5b)
2 * -5b = 3(b + 13)

Multiply 2 * -5
-10b = 3(b + 13)

Reorder the terms:
-10b = 3(13 + b)
-10b = (13 * 3 + b * 3)
-10b = (39 + 3b)

Solving
-10b = 39 + 3b

Solving for variable 'b'.

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

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

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

Combine like terms: 3b + -3b = 0
-13b = 39 + 0
-13b = 39

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

Simplifying
b = -3