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 \( x = -0.3 \).