Question

select the correct result after applying the distributive property in the equation -3(x - 2) = 5
a) -3x - 6 = 5
b) -3x + 6 = 5
c) -3x - 5 = -15
d) -3x - 2 = 5

Explanation:

Step1: Recall Distributive Property

The distributive property is \(a(b - c)=ab - ac\). Here, \(a=-3\), \(b = x\), \(c = 2\).

Step2: Apply Distributive Property

Apply the property to \(-3(x - 2)\): \(-3\times x+(-3)\times(-2)=-3x + 6\). So the equation \(-3(x - 2)=5\) becomes \(-3x + 6 = 5\).

Answer:

B) \(-3x + 6 = 5\)