Solve for x in the equation 102.5(x−11.92)=71.6. Round your answer to 3 decimal places.(1 point)
Responses
−11.221
0.699
12.619
12.618
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.