(9b-6)-4(2b+1)=-5

Solution for (9b-6)-4(2b+1)=-5 equation:

Simplifying
(9b + -6) + -4(2b + 1) = -5

Reorder the terms:
(-6 + 9b) + -4(2b + 1) = -5

Remove parenthesis around (-6 + 9b)
-6 + 9b + -4(2b + 1) = -5

Reorder the terms:
-6 + 9b + -4(1 + 2b) = -5
-6 + 9b + (1 * -4 + 2b * -4) = -5
-6 + 9b + (-4 + -8b) = -5

Reorder the terms:
-6 + -4 + 9b + -8b = -5

Combine like terms: -6 + -4 = -10
-10 + 9b + -8b = -5

Combine like terms: 9b + -8b = 1b
-10 + 1b = -5

Solving
-10 + 1b = -5

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 1b = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -5 + 10
1b = -5 + 10

Combine like terms: -5 + 10 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5