Question

What is are the steps when solving: 14/7-x = 3?

Answer 1

To solve the equation \( \frac{14}{7 - x} = 3 \), follow these steps:

1. **Isolate the fraction**: The equation is already set up as \( \frac{14}{7 - x} = 3 \).

2. **Eliminate the fraction**: Multiply both sides of the equation by \( 7 - x \) to get rid of the denominator:
\[
14 = 3(7 - x)
\]

3. **Distribute the right-hand side**:
\[
14 = 21 - 3x
\]

4. **Rearrange the equation**: To isolate \( x \), move \( 3x \) to the left side and 14 to the right side:
\[
3x = 21 - 14
\]
\[
3x = 7
\]

5. **Solve for \( x \)**: Divide both sides by 3:
\[
x = \frac{7}{3}
\]

6. **Conclusion**: The solution to the equation is
\[
x = \frac{7}{3}.
\]

You can also verify your solution by substituting \( x = \frac{7}{3} \) back into the original equation and ensuring both sides are equal.