What is the solution to the equation 0.24(x−10.2)=6

To solve the equation \( 0.24(x - 10.2) = 6 \) for \( x \), follow these steps:

1. Isolate the expression: Start by dividing both sides of the equation by 0.24:

   \[ x - 10.2 = \frac{6}{0.24} \]

2. Calculate the right side:

   \[ \frac{6}{0.24} = 25 \]

   So now the equation is:

   \[ x - 10.2 = 25 \]

3. Solve for \( x \): Add 10.2 to both sides of the equation:

   \[ x = 25 + 10.2 \]

   Therefore:

   \[ x = 35.2 \]

So, the solution to the equation is \( x = 35.2 \).

Final Answer: 35.2