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

16.44
16.44

11.64

Answer 1

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

1. **Distribute 0.24**:
\[
0.24x - 0.24 \times 10.2 = 6
\]
Calculate \( 0.24 \times 10.2 \):
\[
0.24 \times 10.2 = 2.448
\]
So we have:
\[
0.24x - 2.448 = 6
\]

2. **Isolate the term with \( x \)**:
Add \( 2.448 \) to both sides:
\[
0.24x = 6 + 2.448
\]
\[
0.24x = 8.448
\]

3. **Solve for \( x \)**:
Divide both sides by \( 0.24 \):
\[
x = \frac{8.448}{0.24}
\]
Perform the division:
\[
x = 35.2
\]

Thus, the solution to the equation is \( \boxed{35.2} \).