3(2b+1)-2(3-b)=13

Solution for 3(2b+1)-2(3-b)=13 equation:

Simplifying
3(2b + 1) + -2(3 + -1b) = 13

Reorder the terms:
3(1 + 2b) + -2(3 + -1b) = 13
(1 * 3 + 2b * 3) + -2(3 + -1b) = 13
(3 + 6b) + -2(3 + -1b) = 13
3 + 6b + (3 * -2 + -1b * -2) = 13
3 + 6b + (-6 + 2b) = 13

Reorder the terms:
3 + -6 + 6b + 2b = 13

Combine like terms: 3 + -6 = -3
-3 + 6b + 2b = 13

Combine like terms: 6b + 2b = 8b
-3 + 8b = 13

Solving
-3 + 8b = 13

Solving for variable 'b'.

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

Add '3' to each side of the equation.
-3 + 3 + 8b = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 8b = 13 + 3
8b = 13 + 3

Combine like terms: 13 + 3 = 16
8b = 16

Divide each side by '8'.
b = 2

Simplifying
b = 2