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 \(x = 35.2\).