Question

What is the solution to the equation 0.24(x−10.2)=6 when solving for x ?(1 point) Responses 16.44 16.44 14.8 14.8 11.64 11.64 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**:
\[
x - 10.2 = \frac{6}{0.24}
\]

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

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

4. **Add 10.2 to both sides**:
\[
x = 25 + 10.2
\]

5. **Calculate \(25 + 10.2\)**:
\[
x = 35.2
\]

Thus, the solution is \(x = 35.2\).