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