To solve the equation \((8,6x + 13,6) : 6 = 4,6\), we first need to interpret the notation correctly. The equation appears to be a division of a sum by 6:
\[ \frac{8.6x + 13.6}{6} = 4.6 \]
Now, let's solve for \(x\):
Multiply both sides by 6 to eliminate the fraction:
\[ 8.6x + 13.6 = 4.6 \times 6 \]
Calculating \(4.6 \times 6\):
\[ 4.6 \times 6 = 27.6 \]
So we have:
\[ 8.6x + 13.6 = 27.6 \]
Subtract 13.6 from both sides to isolate the term with \(x\):
\[ 8.6x = 27.6 - 13.6 \]
Calculating \(27.6 - 13.6\):
\[ 27.6 - 13.6 = 14 \]
So we have:
\[ 8.6x = 14 \]
Divide both sides by 8.6 to solve for \(x\):
\[ x = \frac{14}{8.6} \]
Calculating \( \frac{14}{8.6} \):
\[ x \approx 1.6279 \]
So, the solution is:
\[ x \approx 1.63 \text{ (rounded to two decimal places)} \]
