(2b-3)-(b+6)=5

Solution for (2b-3)-(b+6)=5 equation:

Simplifying
(2b + -3) + -1(b + 6) = 5

Reorder the terms:
(-3 + 2b) + -1(b + 6) = 5

Remove parenthesis around (-3 + 2b)
-3 + 2b + -1(b + 6) = 5

Reorder the terms:
-3 + 2b + -1(6 + b) = 5
-3 + 2b + (6 * -1 + b * -1) = 5
-3 + 2b + (-6 + -1b) = 5

Reorder the terms:
-3 + -6 + 2b + -1b = 5

Combine like terms: -3 + -6 = -9
-9 + 2b + -1b = 5

Combine like terms: 2b + -1b = 1b
-9 + 1b = 5

Solving
-9 + 1b = 5

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = 5 + 9
1b = 5 + 9

Combine like terms: 5 + 9 = 14
1b = 14

Divide each side by '1'.
b = 14

Simplifying
b = 14