(7b-1)-2(3b+1)=-5

Solution for (7b-1)-2(3b+1)=-5 equation:

Simplifying
(7b + -1) + -2(3b + 1) = -5

Reorder the terms:
(-1 + 7b) + -2(3b + 1) = -5

Remove parenthesis around (-1 + 7b)
-1 + 7b + -2(3b + 1) = -5

Reorder the terms:
-1 + 7b + -2(1 + 3b) = -5
-1 + 7b + (1 * -2 + 3b * -2) = -5
-1 + 7b + (-2 + -6b) = -5

Reorder the terms:
-1 + -2 + 7b + -6b = -5

Combine like terms: -1 + -2 = -3
-3 + 7b + -6b = -5

Combine like terms: 7b + -6b = 1b
-3 + 1b = -5

Solving
-3 + 1b = -5

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 + 1b = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 1b = -5 + 3
1b = -5 + 3

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

Divide each side by '1'.
b = -2

Simplifying
b = -2