Solve for x

Question

.
3−6/5x=−3
(1 point)
Responses

x=5
x equals 5

x=0
x equals 0

x=6
x equals 6

x=−5

Answer 1

Let's solve the equation step by step:

Given:

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

1. First, we isolate the term with \(x\) by subtracting 3 from both sides:

\[

• \frac{6}{5}x = -3 - 3 \]

This simplifies to:

\[

• \frac{6}{5}x = -6 \]

2. Next, we can eliminate the negative sign on both sides:

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

3. Now, we will multiply both sides by the reciprocal of \(\frac{6}{5}\), which is \(\frac{5}{6}\):

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

4. This simplifies to:

\[ x = 5 \]

So, the solution is:

\[ \boxed{5} \]