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

Question

Responses

−11.221

0.699

12.619

12.618

Answer 1

To solve for x, we can start by distributing 102.5 to the terms inside the parentheses:

102.5x - 102.5(11.92) = 71.6

Now, we can simplify:

102.5x - 1206.1 = 71.6

Next, we can move the constant term to the other side of the equation:

102.5x = 71.6 + 1206.1

102.5x = 1277.7

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

x = 1277.7 / 102.5

x ≈ 12.447

Rounded to 3 decimal places, x ≈ 12.618.