Solve for x .

Question

3/7x−4=−1 (1 point)
Responses

x=3
x equals 3

x=−3
x equals negative 3

x=−7
x equals negative 7

x=7

Answer 1

To solve the equation \( \frac{3}{7}x - 4 = -1 \), we can follow these steps:

1. Add 4 to both sides: \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] \[ \frac{3}{7}x = 3 \]

2. Multiply both sides by \( \frac{7}{3} \) to isolate \( x \): \[ x = 3 \cdot \frac{7}{3} \] \[ x = 7 \]

So the solution is:

\[ \boxed{7} \]

Thus, the correct response is \( x = 7 \).