Solve for x

in the equation 102.5(x−11.92)=71.6
. Round your answer to 3 decimal places.(1 point)
Responses

12.619
12.619

0.699
0.699

−11.221
negative 11.221

12.618

1 answer

To solve for x, we can start by simplifying the equation:

102.5(x - 11.92) = 71.6

Next, we can distribute 102.5 to both terms inside the parentheses:

102.5x - 102.5(11.92) = 71.6

102.5x - 1201.4 = 71.6

Now, we can isolate the x term by adding 1201.4 to both sides of the equation:

102.5x = 71.6 + 1201.4

102.5x = 1273

Finally, we can solve for x by dividing both sides of the equation by 102.5:

x = 1273 / 102.5

x ≈ 12.418 (rounded to 3 decimal places)

Therefore, the correct answer is not provided in the given options.