Solve for x in the equation 102.5 (x - 11.92) = 71.6. Round your answer to 3 decimal places.
First, distribute the 102.5 to both terms inside the parentheses:
102.5 * x - 102.5 * 11.92 = 71.6
Simplify:
102.5x - 1219.4 = 71.6
Add 1219.4 to both sides:
102.5x = 1291
Now, divide both sides by 102.5:
x = 12.604
Rounding to 3 decimal places:
x = 12.604
To solve the equation 102.5(x - 11.92) = 71.6, we can follow a few steps:
Step 1: Distribute the 102.5 to the terms inside the parentheses:
102.5x - 102.5 * 11.92 = 71.6
Step 2: Simplify the equation:
102.5x - 1219 = 71.6
Step 3: Isolate the variable term:
102.5x = 71.6 + 1219
102.5x = 1290.6
Step 4: Solve for x by dividing both sides of the equation by 102.5:
x = 1290.6 / 102.5
Step 5: Evaluate the expression:
x ≈ 12.587 (rounded to 3 decimal places)
Therefore, the solution for x in the given equation is approximately 12.587.
To solve for x in the equation 102.5 (x - 11.92) = 71.6, we can follow these steps:
Step 1: Distribute the 102.5 to both terms within the parentheses:
102.5x - 102.5 * 11.92 = 71.6
Step 2: Simplify the equation:
102.5x - 1219.8 = 71.6
Step 3: Move the constant term -1219.8 to the right side of the equation by adding it to both sides:
102.5x = 71.6 + 1219.8
Step 4: Simplify the right side:
102.5x = 1291.4
Step 5: Solve for x by dividing both sides by 102.5:
x = 1291.4 / 102.5
Step 6: Calculate the division to find the value of x:
x ≈ 12.590
Therefore, x is approximately equal to 12.590 when rounded to 3 decimal places.