7(b-5)+5(b+4)=45

Solution for 7(b-5)+5(b+4)=45 equation:

Simplifying
7(b + -5) + 5(b + 4) = 45

Reorder the terms:
7(-5 + b) + 5(b + 4) = 45
(-5 * 7 + b * 7) + 5(b + 4) = 45
(-35 + 7b) + 5(b + 4) = 45

Reorder the terms:
-35 + 7b + 5(4 + b) = 45
-35 + 7b + (4 * 5 + b * 5) = 45
-35 + 7b + (20 + 5b) = 45

Reorder the terms:
-35 + 20 + 7b + 5b = 45

Combine like terms: -35 + 20 = -15
-15 + 7b + 5b = 45

Combine like terms: 7b + 5b = 12b
-15 + 12b = 45

Solving
-15 + 12b = 45

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 12b = 45 + 15

Combine like terms: -15 + 15 = 0
0 + 12b = 45 + 15
12b = 45 + 15

Combine like terms: 45 + 15 = 60
12b = 60

Divide each side by '12'.
b = 5

Simplifying
b = 5