Solve equation for x above.
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?