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Notice that the x is in the denominator. So, it must be removed in the denominator in order to have x only at one side of the equation.
To do so, multiply both sides by the denominator x-1.
Then, combine like terms.
And divide both sides by 4.
Hence, the solution to the given equation is `x=1/2` .
`14 + 2/(x-1) = 10`
Now, `` `x-1 != 0` Therefore, `x!=1` .Ans.
Now, `2/(x-1) = 10 - 14 = -4`
hence; `x-1 = (2/-4)`
hence; `x-1 = -(1/2)`
hence; `x=-(1/2) + 1`
hence; `x=(1/2)` Ans.
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