(10b-1)-3(3b+1)=-5

Solution for (10b-1)-3(3b+1)=-5 equation:

Simplifying
(10b + -1) + -3(3b + 1) = -5

Reorder the terms:
(-1 + 10b) + -3(3b + 1) = -5

Remove parenthesis around (-1 + 10b)
-1 + 10b + -3(3b + 1) = -5

Reorder the terms:
-1 + 10b + -3(1 + 3b) = -5
-1 + 10b + (1 * -3 + 3b * -3) = -5
-1 + 10b + (-3 + -9b) = -5

Reorder the terms:
-1 + -3 + 10b + -9b = -5

Combine like terms: -1 + -3 = -4
-4 + 10b + -9b = -5

Combine like terms: 10b + -9b = 1b
-4 + 1b = -5

Solving
-4 + 1b = -5

Solving for variable 'b'.

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

Add '4' to each side of the equation.
-4 + 4 + 1b = -5 + 4

Combine like terms: -4 + 4 = 0
0 + 1b = -5 + 4
1b = -5 + 4

Combine like terms: -5 + 4 = -1
1b = -1

Divide each side by '1'.
b = -1

Simplifying
b = -1