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
negative 11.221
12.619
12.619
0.699
0.699
12.618
To solve the equation, we need to isolate x. Here is the step-by-step solution:
1. Distribute the 102.5 to the terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
2. Simplify the equation:
102.5x - 1203.9 = 71.6
3. Add 1203.9 to both sides of the equation to move the constant term to the right side:
102.5x = 71.6 + 1203.9
102.5x = 1275.5
4. Divide both sides of the equation by 102.5 to isolate x:
x = 1275.5/102.5
5. Calculate the value of x:
x ≈ 12.427
Rounded to three decimal places, x is approximately 12.427.
So, the correct answer is 12.618.