2/3x + 0,5 = -x

To solve the equation \( \frac{2}{3}x + 0.5 = -x \), we will follow these steps:

1. Get all terms involving \( x \) on one side of the equation.

   \[ \frac{2}{3}x + x + 0.5 = 0 \]

   We can rewrite \( x \) as \( \frac{3}{3}x \):

   \[ \frac{2}{3}x + \frac{3}{3}x + 0.5 = 0 \]

   Combine the \( x \) terms:

   \[ \frac{5}{3}x + 0.5 = 0 \]

2. Subtract \( 0.5 \) from both sides:

   \[ \frac{5}{3}x = -0.5 \]

3. Multiply both sides by \( 3 \) to eliminate the fraction:

   \[ 5x = -0.5 \times 3 \] \[ 5x = -1.5 \]

4. Divide both sides by \( 5 \):

   \[ x = \frac{-1.5}{5} \]

   This simplifies to:

   \[ x = -0.3 \]

So, the solution is \( x = -0.3 \).