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## Homework Statement

Solve equation for x above.

## Homework Equations

See title.

## 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?