Question

what is the solution to the equation?
-5x = -75
options: x = -25; x = -15; x = 15; x = 25

Explanation:

Step1: Divide both sides by -5

To solve for \( x \) in the equation \( -5x = -75 \), we divide both sides of the equation by \( -5 \). This is based on the division property of equality, which states that if we divide both sides of an equation by the same non - zero number, the equation remains true.
So we have \( \frac{-5x}{-5}=\frac{-75}{-5} \)

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{-5x}{-5}=x \) (because a non - zero number divided by itself is 1, so \( \frac{-5}{-5}x = 1\times x=x \)).
Simplifying the right - hand side, \( \frac{-75}{-5}=15 \) (since the quotient of two negative numbers is positive, and \( 75\div5 = 15 \)).

Answer:

\( x = 15 \)