Question

What is the solution to the equation 0.24(x − 10.2) = 6 when solving for x? (1 point)
14.8
35.2
16.44
11.64

Answer 1

Solve for x in the equation
8
11
x +
4
5
=
24
55

Answer 2

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

1. **Distribute** \( 0.24 \) on the left side:
\[
0.24x - 0.24 \times 10.2 = 6
\]
Calculate \( 0.24 \times 10.2 \):
\[
0.24 \times 10.2 = 2.448
\]
So, the equation becomes:
\[
0.24x - 2.448 = 6
\]

2. **Add \( 2.448 \) to both sides** to isolate the term with \( x \):
\[
0.24x = 6 + 2.448
\]
Calculate \( 6 + 2.448 \):
\[
6 + 2.448 = 8.448
\]
So, now the equation is:
\[
0.24x = 8.448
\]

3. **Divide both sides by \( 0.24 \)**:
\[
x = \frac{8.448}{0.24}
\]

4. Now, compute \( \frac{8.448}{0.24} \):
\[
x = 35.2
\]

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

Therefore, the answer is **35.2**.