2х + х/14 = -15

To solve the equation \( 2x + \frac{x}{14} = -15 \), we can follow these steps:

1. Combine like terms: First, we need to express \( 2x \) with a common denominator to combine it with \( \frac{x}{14} \). The least common denominator (LCD) for 2 and 14 is 14.

   We can rewrite \( 2x \) as: \[ 2x = \frac{2x \cdot 14}{14} = \frac{28x}{14} \]

   Now, substitute this back into the equation: \[ \frac{28x}{14} + \frac{x}{14} = -15 \]

   Combine the terms on the left: \[ \frac{28x + x}{14} = -15 \] \[ \frac{29x}{14} = -15 \]

2. Eliminate the fraction: Multiply both sides by 14 to eliminate the fraction: \[ 29x = -15 \cdot 14 \] \[ 29x = -210 \]

3. Solve for \( x \): Divide both sides by 29: \[ x = \frac{-210}{29} \]

Thus, the solution to the equation \( 2x + \frac{x}{14} = -15 \) is: \[ x = \frac{-210}{29} \]

If necessary, you can convert this into a decimal form or further simplify, but \( \frac{-210}{29} \) is an exact solution.