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

Responses

0.699
0.699

−11.221
negative 11.221

12.618
12.618

12.619

1 answer

To solve for x in the equation, we can follow the steps below:

102.5(x - 11.92) = 71.6

First, distribute 102.5 to both terms inside the parentheses:

102.5x - 102.5(11.92) = 71.6

Next, simplify:

102.5x - 1219.4 = 71.6

Add 1219.4 to both sides of the equation:

102.5x = 71.6 + 1219.4

102.5x = 1291

Finally, divide both sides of the equation by 102.5:

x = 1291/102.5

x ≈ 12.618

Rounded to 3 decimal places, the value of x is 12.618.