Question

What is the solution to the equation 0.24(x−10.2)=6
when solving for x
?(1 point)
Responses

35.2
35.2

14.8
14.8

11.64
11.64

16.44

Answer 1

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**