5х-14=7х-19

To solve the equation \(5x - 14 = 7x - 19\), follow these steps:

1. Rearrange the equation to get all the terms involving \(x\) on one side and constant terms on the other side.

   \[ 5x - 14 + 14 = 7x - 19 + 14 \] \[ 5x = 7x - 5 \]

2. Isolate \(x\) by moving the \(7x\) term to the left side.

   \[ 5x - 7x = -5 \] \[ -2x = -5 \]

3. Divide both sides by -2:

   \[ x = \frac{-5}{-2} = \frac{5}{2} \]

Thus, the solution is:

\[ x = \frac{5}{2} \]

or \(x = 2.5\).