Question

the product of 6 and ( x + 5 ) is equal to 42. what is the value of ( x )?
a 2
b 7
c 12
d 31

Explanation:

Step1: Translate the problem into an equation

The product of 6 and \( x + 5 \) is \( 6(x + 5) \), and it equals 42. So the equation is \( 6(x + 5)=42 \).

Step2: Divide both sides by 6

To isolate the term with \( x \), divide both sides of the equation by 6: \( \frac{6(x + 5)}{6}=\frac{42}{6} \), which simplifies to \( x + 5 = 7 \).

Step3: Subtract 5 from both sides

Subtract 5 from both sides to solve for \( x \): \( x + 5 - 5 = 7 - 5 \), so \( x = 2 \).

Answer:

A. 2