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

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

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

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

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

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

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

Combine like terms: -5 + -6 = -11
-11 + 7b + -6b = -7

Combine like terms: 7b + -6b = 1b
-11 + 1b = -7

Solving
-11 + 1b = -7

Solving for variable 'b'.

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

Add '11' to each side of the equation.
-11 + 11 + 1b = -7 + 11

Combine like terms: -11 + 11 = 0
0 + 1b = -7 + 11
1b = -7 + 11

Combine like terms: -7 + 11 = 4
1b = 4

Divide each side by '1'.
b = 4

Simplifying
b = 4