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
12.618
12.618
−11.221
To solve for x in the given equation:
102.5(x−11.92)=71.6
We first need to distribute 102.5 to the terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Now, simplify the equation:
102.5x - 1208.8 = 71.6
Add 1208.8 to both sides of the equation to isolate the variable:
102.5x = 1280.4
Lastly, divide both sides of the equation by 102.5 to solve for x:
x = 1280.4 / 102.5
x ≈ 12.499
Rounded to 3 decimal places, x is approximately 12.499.