Since the cube root function is bijective, we know this won't be an extraneous solution, but it doesn't hurt to verify that this is correct. When , we have
44-2x=x-10
subtract 44 from both sides
-2x= x-54
subtract x from both sides
-3x= -54
divide by -3
x= 18
square root of 18= 4.24
in radical form 3 square root of 2
hope this helps