Solve for x . 3/7x−4=−1 (1 point)

1 answer

To solve for \( x \) in the equation

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

first, let's isolate the term with \( x \) by adding 4 to both sides:

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

Simplifying the right side gives:

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

Next, to solve for \( x \), multiply both sides by the reciprocal of \( \frac{3}{7} \), which is \( \frac{7}{3} \):

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

This simplifies to:

\[ x = 7. \]

So the solution is

\[ \boxed{7}. \]