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
−11.221
negative 11.221
12.618
12.618
0.699
To solve for x, we need to isolate x on one side of the equation.
102.5(x - 11.92) = 71.6
Let's distribute 102.5 to the terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
102.5x - 1204.9 = 71.6
Next, let's add 1204.9 to both sides of the equation to eliminate the constant term on the left side:
102.5x - 1204.9 + 1204.9 = 71.6 + 1204.9
102.5x = 1276.5
Finally, divide both sides of the equation by 102.5 to solve for x:
x = 1276.5 / 102.5
x ≈ 12.453
Rounding to 3 decimal places, the answer is 12.453.