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

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

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

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

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

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

Reorder the terms:
-5 + -9 + 7b + -6b = -4

Combine like terms: -5 + -9 = -14
-14 + 7b + -6b = -4

Combine like terms: 7b + -6b = 1b
-14 + 1b = -4

Solving
-14 + 1b = -4

Solving for variable 'b'.

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

Add '14' to each side of the equation.
-14 + 14 + 1b = -4 + 14

Combine like terms: -14 + 14 = 0
0 + 1b = -4 + 14
1b = -4 + 14

Combine like terms: -4 + 14 = 10
1b = 10

Divide each side by '1'.
b = 10

Simplifying
b = 10