Question

what is the solution to the equation?
-0.5x = -11.5
options: x = -23; x = -5.75; x = 23; x = 5.75

Explanation:

Step1: Divide both sides by -0.5

To solve for \( x \) in the equation \( -0.5x = -11.5 \), we divide both sides of the equation by \( -0.5 \). This gives us the formula \( x=\frac{-11.5}{-0.5} \).

Step2: Calculate the division

When we divide \( -11.5 \) by \( -0.5 \), we know that dividing two negative numbers gives a positive result. So, \( \frac{-11.5}{-0.5}=\frac{11.5}{0.5} \). And \( 11.5\div0.5 = 23 \).

Answer:

\( x = 23 \) (the option with \( x = 23 \))