Question 189394
2 + squareroot(2-x) = x 
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Step 1 - isolate the radical.
{{{sqrt(2-x) = x-2}}}
Then square both sides.  This eliminates the radical.
{{{(2-x) = x^2 - 4x + 4}}}
{{{x^2 - 3x + 2 = 0}}}
(x-1)*(x-2) = 0
x = 1
x = 2
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2 works.
The 1 is an extraneous solution, ignore it.