(13b-5)-6(2b+1)=5

Solution for (13b-5)-6(2b+1)=5 equation:

Simplifying
(13b + -5) + -6(2b + 1) = 5

Reorder the terms:
(-5 + 13b) + -6(2b + 1) = 5

Remove parenthesis around (-5 + 13b)
-5 + 13b + -6(2b + 1) = 5

Reorder the terms:
-5 + 13b + -6(1 + 2b) = 5
-5 + 13b + (1 * -6 + 2b * -6) = 5
-5 + 13b + (-6 + -12b) = 5

Reorder the terms:
-5 + -6 + 13b + -12b = 5

Combine like terms: -5 + -6 = -11
-11 + 13b + -12b = 5

Combine like terms: 13b + -12b = 1b
-11 + 1b = 5

Solving
-11 + 1b = 5

Solving for variable 'b'.

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

Add '11' to each side of the equation.
-11 + 11 + 1b = 5 + 11

Combine like terms: -11 + 11 = 0
0 + 1b = 5 + 11
1b = 5 + 11

Combine like terms: 5 + 11 = 16
1b = 16

Divide each side by '1'.
b = 16

Simplifying
b = 16