1. The problem statement, all variables and given/known data Solve equation for x above. 2. Relevant equations See title. 3. The attempt at a solution Step 1: add 14 to both sides 1/4x + 2/9 = 114 Step 2: This is where my memory is a bit fuzzy. I know we can obtain like bases between 1/4x and 2/9, but that wouldn't seem super helpful, because they aren't like terms is that correct? I figured 1/4 and 2/9 would be like terms, but 1/4x and 2/9 aren't and cannot be combined. If that's the case, then it seems I'd have to deal with each fraction in both terms separately and one-by-one. I chose to "get rid" of the 2/9 fraction first by multiplying it by 9/1 (as well as ever other term on both sides by the same 9/1) and got: 9/4x + 2 = 1026 Step 3: Subtract 2 from both sides 9/4x = 1024 Step 4: Get rid of fraction by multiplying both sides by 4/1 and this yields: 9x = 4096 Step 5: Divide both sides by 9 to isolate the x and get: x = 455.11111111... Not 100% sure I did this correctly. And wondering also if there was a different or easier way?