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

Responses

35.2
35.2

11.64
11.64

14.8
14.8

16.44

1 answer

To solve the equation 0.24(x-10.2) = 6 for x, we can start by distributing 0.24 to both terms inside the parenthesis:

0.24(x) - 0.24(10.2) = 6

Next, simplify the equation:

0.24x - 2.448 = 6

Now, we can isolate the variable x by adding 2.448 to both sides of the equation:

0.24x = 6 + 2.448

0.24x = 8.448

Finally, solve for x by dividing both sides of the equation by 0.24:

x = 8.448 / 0.24

x ≈ 35.2

Therefore, the solution to the equation when solving for x is approximately 35.2.