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

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

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

Reorder the terms:
5(-7 + 4b) + -1(3b + -1) * 2 = -5
(-7 * 5 + 4b * 5) + -1(3b + -1) * 2 = -5
(-35 + 20b) + -1(3b + -1) * 2 = -5

Reorder the terms:
-35 + 20b + -1(-1 + 3b) * 2 = -5

Reorder the terms for easier multiplication:
-35 + 20b + -1 * 2(-1 + 3b) = -5

Multiply -1 * 2
-35 + 20b + -2(-1 + 3b) = -5
-35 + 20b + (-1 * -2 + 3b * -2) = -5
-35 + 20b + (2 + -6b) = -5

Reorder the terms:
-35 + 2 + 20b + -6b = -5

Combine like terms: -35 + 2 = -33
-33 + 20b + -6b = -5

Combine like terms: 20b + -6b = 14b
-33 + 14b = -5

Solving
-33 + 14b = -5

Solving for variable 'b'.

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

Add '33' to each side of the equation.
-33 + 33 + 14b = -5 + 33

Combine like terms: -33 + 33 = 0
0 + 14b = -5 + 33
14b = -5 + 33

Combine like terms: -5 + 33 = 28
14b = 28

Divide each side by '14'.
b = 2

Simplifying
b = 2