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

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

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

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

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

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

Reorder the terms:
-3 + -9 + 7b + -6b = -5

Combine like terms: -3 + -9 = -12
-12 + 7b + -6b = -5

Combine like terms: 7b + -6b = 1b
-12 + 1b = -5

Solving
-12 + 1b = -5

Solving for variable 'b'.

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

Add '12' to each side of the equation.
-12 + 12 + 1b = -5 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = -5 + 12
1b = -5 + 12

Combine like terms: -5 + 12 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7