How would you solve for x given the equation:

(x/58.45) + ((0.86 - x)/74.55) = 0.01349

To solve for x in the equation:

(x/58.45) + ((0.86 - x)/74.55) = 0.01349

we can follow these steps:

Step 1: Multiply both sides of the equation by the least common multiple (LCM) of the denominators to clear out the fractions. In this case, the LCM of 58.45 and 74.55 is 4331.6475 (rounded to four decimal places).

4331.6475 * (x/58.45) + 4331.6475 * ((0.86 - x)/74.55) = 4331.6475 * 0.01349

Simplifying, we get:

74.265 * x + 58.45 * (0.86 - x) = 58.45 * 0.01349

Step 2: Distribute the terms on the left side of the equation:

74.265 * x + 50.327 - 58.45 * x = 0.7868005

Step 3: Combine like terms:

(74.265 - 58.45) * x + 50.327 = 0.7868005

15.815 * x + 50.327 = 0.7868005

Step 4: Move the constant term to the right side of the equation:

15.815 * x = 0.7868005 - 50.327

15.815 * x = -49.5401995

Step 5: Solve for x by dividing both sides of the equation by 15.815:

x = (-49.5401995) / 15.815

Simplifying, we find:

x ≈ -3.1328

Therefore, the solution for x is approximately -3.1328.