(8,6x+13,6):6=4,6
To solve the equation \((8,6x + 13,6) : 6 = 4,6\), we can proceed as follows:
Rewrite the equation more clearly. The expression \((8,6x + 13,6)\) represents a fraction where \(8,6x + 13,6\) is the numerator. Thus, we have: \[ \frac{8,6x + 13,6}{6} = 4,6 \]
To eliminate the fraction, multiply both sides of the equation by 6: \[ 8,6x + 13,6 = 4,6 \times 6 \]
Calculate \(4,6 \times 6\): \[ 4,6 \times 6 = 27,6 \]
Now, rewrite the equation: \[ 8,6x + 13,6 = 27,6 \]
Next, subtract \(13,6\) from both sides: \[ 8,6x = 27,6 - 13,6 \] \[ 8,6x = 14 \]
Finally, divide both sides by \(8,6\) to solve for \(x\): \[ x = \frac{14}{8,6} \]
Calculate \(x\): \[ x \approx 1,6279 \]
Thus, the solution is: \[ x \approx 1,63 \quad (\text{rounded to two decimal places}) \]
