Let's solve the equation step by step:
The equation you have is:
\[ 0.24 (x - 10.2) = 6 \]
- Divide both sides by 0.24 to isolate the term with \(x\):
\[ x - 10.2 = \frac{6}{0.24} \]
Calculating the right side:
\[ \frac{6}{0.24} = 25 \]
So now we have:
\[ x - 10.2 = 25 \]
- Add 10.2 to both sides to solve for \(x\):
\[ x = 25 + 10.2 \]
Calculating the right side gives:
\[ x = 35.2 \]
So the correct answer is:
\[ x = 35.2 \]
It looks like there was a mistake in your calculation. The correct value of \(x\) is \(35.2\).