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

14.8

35.2

16.44

11.64

1 answer

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

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

  2. Add \( 2.448 \) to both sides of the equation: \[ 0.24x = 6 + 2.448 \] \[ 0.24x = 8.448 \]

  3. Divide both sides by \( 0.24 \) to isolate \( x \): \[ x = \frac{8.448}{0.24} \] Calculate \( \frac{8.448}{0.24} \): \[ x = 35.2 \]

Therefore, the solution to the equation \( 0.24(x - 10.2) = 6 \) is \( \boxed{35.2} \).