Solve for x .

Question

3/7x−4=−1 (1 point)
Responses

x=3
x equals 3

x=−7
x equals negative 7

x=7
x equals 7

x=−3

Answer 1

To solve for \( x \) in the equation

\[ \frac{3}{7}x - 4 = -1, \]

follow these steps:

1. Add 4 to both sides to isolate the term with \( x \):

\[ \frac{3}{7}x - 4 + 4 = -1 + 4 \]

This simplifies to:

\[ \frac{3}{7}x = 3. \]

2. Multiply both sides by \(\frac{7}{3}\) to solve for \( x \):

\[ x = 3 \times \frac{7}{3}. \]

This simplifies to:

\[ x = 7. \]

Thus, the solution is

\[ \boxed{7}. \]