5b+2(b+3)=27

Solution for 5b+2(b+3)=27 equation:

Simplifying
5b + 2(b + 3) = 27

Reorder the terms:
5b + 2(3 + b) = 27
5b + (3 * 2 + b * 2) = 27
5b + (6 + 2b) = 27

Reorder the terms:
6 + 5b + 2b = 27

Combine like terms: 5b + 2b = 7b
6 + 7b = 27

Solving
6 + 7b = 27

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + 7b = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 7b = 27 + -6
7b = 27 + -6

Combine like terms: 27 + -6 = 21
7b = 21

Divide each side by '7'.
b = 3

Simplifying
b = 3