Question

solve for \(x\)
\(\frac{3}{7}x-4=-1\)

Answer 1

To solve the equation

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

we first isolate the term containing \(x\). We can do this by adding 4 to both sides of the equation:

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

This simplifies to:

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

Next, we eliminate the fraction by multiplying both sides of the equation by \(7\):

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

This results in:

\[
3x = 21.
\]

Now, to solve for \(x\), we divide both sides by 3:

\[
x = \frac{21}{3}.
\]

Simplifying this gives:

\[
x = 7.
\]

Thus, the solution is

\[
\boxed{7}.
\]