2х+7=х/3

To solve the equation \(2x + 7 = \frac{x}{3}\), follow these steps:

1. Eliminate the fraction by multiplying every term by 3:

\[ 3(2x) + 3(7) = 3\left(\frac{x}{3}\right) \]

This simplifies to:

\[ 6x + 21 = x \]

2. Next, move \(x\) from the right side to the left side by subtracting \(x\) from both sides:

\[ 6x - x + 21 = 0 \]

This simplifies to:

\[ 5x + 21 = 0 \]

3. Now, isolate \(5x\) by subtracting 21 from both sides:

\[ 5x = -21 \]

4. Finally, solve for \(x\) by dividing both sides by 5:

\[ x = -\frac{21}{5} \]

Thus, the solution is:

\[ x = -\frac{21}{5} \]