Solve for x .

3−6/5x=−3 (1 point)
Responses

x=5
x equals 5

x=6
x equals 6

x=−5
x equals negative 5

x=0

3 answers

To solve for \( x \) in the equation

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

we can first isolate the term with \( x \). Start by subtracting 3 from both sides:

\[

  • \frac{6}{5}x = -3 - 3, \]

which simplifies to:

\[

  • \frac{6}{5}x = -6. \]

Next, multiply both sides of the equation by -1 to get rid of the negative sign:

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

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

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

This simplifies to:

\[ x = 5. \]

Thus, the solution is:

\[ x = 5. \]

So the correct response is:

x=5 or x equals 5.

Ok thanks

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