Question

what value correctly fills in the blank in the equation below?
$5(3x - 2) = \underline{\quad\quad} x - 10$
a 5
b 8
c 15
d 53

Explanation:

Step1: Apply distributive property

To expand \( 5(3x - 2) \), we use the distributive property \( a(b - c)=ab - ac \). Here, \( a = 5 \), \( b = 3x \), and \( c = 2 \). So, \( 5\times3x-5\times2 \).

Step2: Calculate each term

Calculating \( 5\times3x \) gives \( 15x \), and \( 5\times2 = 10 \). So, \( 5(3x - 2)=15x - 10 \).

Answer:

C. 15