Question

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

Answer 1

To solve the equation \( 3 - \frac{6}{5}x = -3 \), follow these steps:

1. Start by isolating the term with \( x \). Subtract 3 from both sides:

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

This simplifies to:

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

2. Next, divide both sides by \(-1\) to remove the negative sign:

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

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

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

Simplifying this gives:

\[
x = 5
\]

Thus, the solution is:

\[
\boxed{5}
\]