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

Question

when solving for x
?(1 point)
Responses

16.44
16.44

11.64
11.64

14.8
14.8

35.2
35.2

Answer 1

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

1. Divide both sides by \( 0.24 \) to isolate \( (x - 10.2) \): \[ x - 10.2 = \frac{6}{0.24} \]

2. Calculate \( \frac{6}{0.24} \): \[ \frac{6}{0.24} = 25 \]

3. Now the equation becomes: \[ x - 10.2 = 25 \]

4. Add \( 10.2 \) to both sides to solve for \( x \): \[ x = 25 + 10.2 = 35.2 \]

Thus, the solution to the equation is:

\[ \boxed{35.2} \]