What is the first step when solving: 14/7-x = 3?

A. Subtract 7 from both sides of the equation.
B. Multiply both sides of the equation by 7-x/ 1
C. Divide 14 by 7 to get 2 - x = 3.
D. Add x to both sides of the equation.

1 answer

To solve the equation \( \frac{14}{7 - x} = 3 \), we want to isolate the variable \( x \).

Let's look at the options provided:

A. Subtract 7 from both sides of the equation.
B. Multiply both sides of the equation by \( 7 - x \).
C. Divide 14 by 7 to get \( 2 - x = 3 \).
D. Add \( x \) to both sides of the equation.

The best first step to eliminate the fraction is option B: Multiply both sides of the equation by \( 7 - x \).

This allows you to eliminate the denominator and simplify the equation, making it easier to solve for \( x \). Thus, option B is the correct first step.