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 will first simplify the equation:

102.5(x - 11.92) = 71.6

Distribute 102.5 to the terms inside the parentheses:

102.5x - (102.5)(11.92) = 71.6

We can simplify further:

102.5x - 1219.6 = 71.6

Now, isolate the variable x by moving -1219.6 to the other side of the equation:

102.5x = 71.6 + 1219.6

Combine like terms:

102.5x = 1291.2

To solve for x, divide both sides of the equation by 102.5:

x = 1291.2 / 102.5

x ≈ 12.618

Therefore, the solution rounded to 3 decimal places is x = 12.618.