We want to solve the following equation.
3.2 = 4/5(b-5)
First, let's use the Distributive Property to simplify the left-hand side of the equation.
3.2 & = (4/5 * b )+ (4/5 * (-5)
& ⇓
3.2 &= 4/5b - 4
Next, let's use inverse operations in order to isolate the variable. First, let's use the Addition Property of Equality and add 4 to both sides of the equation. That way, we will isolate 45b on the left-hand side of the equation.
3.2 &= 4/5b - 4
&⇓
3.2 + 4 &= 4/5b
We can simplify the left-hand side by noting that 3.2+4 = 7.2. Next, let's simplify the right-hand side and use the Multiplication Property of Equality by multiplying both sides of the equation by 54. That way, we will isolate b on the right-hand side of the equation.
3.2 + 4 &= 4/5b
&⇓
5/4 * 7.2 &= b
Finally, let's simplify the left-hand side of the equation.
