(7b-4)-2(3b+1)=-5

Solution for (7b-4)-2(3b+1)=-5 equation:

Simplifying
(7b + -4) + -2(3b + 1) = -5

Reorder the terms:
(-4 + 7b) + -2(3b + 1) = -5

Remove parenthesis around (-4 + 7b)
-4 + 7b + -2(3b + 1) = -5

Reorder the terms:
-4 + 7b + -2(1 + 3b) = -5
-4 + 7b + (1 * -2 + 3b * -2) = -5
-4 + 7b + (-2 + -6b) = -5

Reorder the terms:
-4 + -2 + 7b + -6b = -5

Combine like terms: -4 + -2 = -6
-6 + 7b + -6b = -5

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

Solving
-6 + 1b = -5

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 1b = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 1b = -5 + 6
1b = -5 + 6

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

Divide each side by '1'.
b = 1

Simplifying
b = 1