Ask a New Question
Menu

What is the solution to the equation 0.24 ( x - 10.2 ) = 6 when solving for x?

16.44

14.8

11.64

35.2

1 answer

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

  1. Divide both sides by \( 0.24 \): \[ x - 10.2 = \frac{6}{0.24} \] Calculating the right side: \[ \frac{6}{0.24} = 25 \] So the equation simplifies to: \[ x - 10.2 = 25 \]

  2. Now, add \( 10.2 \) to both sides: \[ x = 25 + 10.2 \] Performing the addition: \[ x = 35.2 \]

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