5,6x + 4,3x + 21,6 = 46,7

To solve the equation \( 5.6x + 4.3x + 21.6 = 46.7 \), you can follow these steps:

1. Combine like terms: Add \( 5.6x \) and \( 4.3x \) together.

   \[ 5.6x + 4.3x = 9.9x \]

   So the equation becomes:

   \[ 9.9x + 21.6 = 46.7 \]

2. Subtract 21.6 from both sides:

   \[ 9.9x = 46.7 - 21.6 \]

   Calculate \( 46.7 - 21.6 \):

   \[ 46.7 - 21.6 = 25.1 \]

   Now the equation is:

   \[ 9.9x = 25.1 \]

3. Divide both sides by 9.9 to isolate \( x \):

   \[ x = \frac{25.1}{9.9} \]

   Now calculate \( \frac{25.1}{9.9} \):

   \[ x \approx 2.53535353535 \text{ (or approximately 2.54)} \]

Thus, the solution is:

\[ x \approx 2.54 \]