Question

solve for \(x\)
\(3-\frac{6}{5}x=-3\)

Answer 1

To solve the equation \(3 - \frac{6}{5}x = -3\), we start by isolating the term with \(x\).

1. Subtract \(3\) from both sides:

\[
-\frac{6}{5}x = -3 - 3
\]

\[
-\frac{6}{5}x = -6
\]

2. To eliminate the negative sign, multiply both sides by \(-1\):

\[
\frac{6}{5}x = 6
\]

3. To solve for \(x\), multiply both sides by the reciprocal of \(\frac{6}{5}\), which is \(\frac{5}{6}\):

\[
x = 6 \cdot \frac{5}{6}
\]

4. Simplifying the right side:

\[
x = 5
\]

Thus, the solution for \(x\) is

\[
\boxed{5}
\]