3(b+2)=5b+10

Solution for 3(b+2)=5b+10 equation:

Simplifying
3(b + 2) = 5b + 10

Reorder the terms:
3(2 + b) = 5b + 10
(2 * 3 + b * 3) = 5b + 10
(6 + 3b) = 5b + 10

Reorder the terms:
6 + 3b = 10 + 5b

Solving
6 + 3b = 10 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
6 + 3b + -5b = 10 + 5b + -5b

Combine like terms: 3b + -5b = -2b
6 + -2b = 10 + 5b + -5b

Combine like terms: 5b + -5b = 0
6 + -2b = 10 + 0
6 + -2b = 10

Add '-6' to each side of the equation.
6 + -6 + -2b = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = 10 + -6
-2b = 10 + -6

Combine like terms: 10 + -6 = 4
-2b = 4

Divide each side by '-2'.
b = -2

Simplifying
b = -2