5. Solve for x and check

First isolate the radical. Add 5 to both sides.

Now square both sides.

Subtract 3 from both sides.

Divide both sides by 2.

Check: Copy down the original equation

except that where there is an x, copy down a 33/2 in parentheses

When we do the arithmetic inside the parentheses, we first multiply the 2 times the 33/2.

Then add under the radical.

Now take the square root,

and it checks