Hi, I need further clarification on a question I submitted earlier today:

My Original Question: Can I please get step by step instructions on how to solve for x: x/1.06 + x/1.065² + x/1.07³ = 55.341 Thanks so much!

Answer Provided: x/1.06 + x/1.065² + x/1.07³ = 55.341 Take the common denominator for the LHS Common Denominator = 1.06*1.065²*1.07³ Hence, LHS = (1.065 ²*1.07³x + 1.06*1.07³x + 1.06*1.065²x)/(1.06*1.065²*1.07 ³) = (1.390x + 1.299x + 1.202x)/1.4728 = 3.8903x/1.4728 Hence, 3.891x/1.473 = 55.341 => x = 55.341*1.473/3.891 = 20.950

Please Provide Clarification on Provided Answer: This is how it is written out in my solutions...but, I don't remember how to get this part: (1.065²*1.07³x + 1.06*1.07³x + 1.06*1.065²x) from the above. Thanks!