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Solve for x .

3−6/5x=−3 (1 point)
Responses

x=−5
x equals negative 5

x=5
x equals 5

x=6
x equals 6

x=0

1 answer

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

  1. First, isolate the term with \( x \) on one side of the equation:

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

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

  2. Now, we can eliminate the negative sign and multiply both sides by \(-1\):

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

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

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

    \[ x = 5 \]

So the solution to the equation \( 3 - \frac{6}{5}x = -3 \) is

\[ \boxed{5}. \]

Thus the correct response is:

x=5
x equals 5