Question

Solve 24x ⋅ 321-x = 8x+2

Answer 1

`x=2/7695`

≡ Small number, yes, but the steps explain why x is equal to this.

Explanation:

simplify

`24x\cdot 321-x=8x+2\\\left(24\cdot 321\right)x-x=8x+2\\7703x=8x+2`

group

`7703x=8x+2\\7703x-8x=8~x+2-8x\\7695x=8x+2-8x\\7695x=8x-8x+2\\7695x=2`

isolate

`7695x=2\\(7695x)/(7695)=(2)/(7695)\\x=(2)/(7695)`

The fraction is in its simplest form, so that is the final answer.