Question

Question
Solve for x
.
3/7x−4=−1
(1 point)
Responses

x=−7
x equals negative 7

x=−3
x equals negative 3

x=7
x equals 7

x=3

Answer 1

To solve 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 \(x\):
\[
x = 3 \cdot \frac{7}{3}
\]
The \(3\) in the numerator and the denominator cancel out:
\[
x = 7
\]

Therefore, the solution for \(x\) is:
\[
\boxed{7}
\]