(7b-9)-2(3b+4)=-5

Solution for (7b-9)-2(3b+4)=-5 equation:

Simplifying
(7b + -9) + -2(3b + 4) = -5

Reorder the terms:
(-9 + 7b) + -2(3b + 4) = -5

Remove parenthesis around (-9 + 7b)
-9 + 7b + -2(3b + 4) = -5

Reorder the terms:
-9 + 7b + -2(4 + 3b) = -5
-9 + 7b + (4 * -2 + 3b * -2) = -5
-9 + 7b + (-8 + -6b) = -5

Reorder the terms:
-9 + -8 + 7b + -6b = -5

Combine like terms: -9 + -8 = -17
-17 + 7b + -6b = -5

Combine like terms: 7b + -6b = 1b
-17 + 1b = -5

Solving
-17 + 1b = -5

Solving for variable 'b'.

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

Add '17' to each side of the equation.
-17 + 17 + 1b = -5 + 17

Combine like terms: -17 + 17 = 0
0 + 1b = -5 + 17
1b = -5 + 17

Combine like terms: -5 + 17 = 12
1b = 12

Divide each side by '1'.
b = 12

Simplifying
b = 12