(15b-6)-7(2b+3)=-5

Solution for (15b-6)-7(2b+3)=-5 equation:

Simplifying
(15b + -6) + -7(2b + 3) = -5

Reorder the terms:
(-6 + 15b) + -7(2b + 3) = -5

Remove parenthesis around (-6 + 15b)
-6 + 15b + -7(2b + 3) = -5

Reorder the terms:
-6 + 15b + -7(3 + 2b) = -5
-6 + 15b + (3 * -7 + 2b * -7) = -5
-6 + 15b + (-21 + -14b) = -5

Reorder the terms:
-6 + -21 + 15b + -14b = -5

Combine like terms: -6 + -21 = -27
-27 + 15b + -14b = -5

Combine like terms: 15b + -14b = 1b
-27 + 1b = -5

Solving
-27 + 1b = -5

Solving for variable 'b'.

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

Add '27' to each side of the equation.
-27 + 27 + 1b = -5 + 27

Combine like terms: -27 + 27 = 0
0 + 1b = -5 + 27
1b = -5 + 27

Combine like terms: -5 + 27 = 22
1b = 22

Divide each side by '1'.
b = 22

Simplifying
b = 22