Question

Help?

Answer 1

Multiply both sides by \[\sqrt{x-7}\] to begin with so you'll have
\[\sqrt{2x}=3\sqrt{x-7}\]

Answer 2

Then eliminate square roots on both sides by squaring both expressions

\[(\sqrt{2x})^2=(3\sqrt{x-7})^2 \implies 2x = 9(x-7)\]

Answer 3

Expand the right side

\[2x = 9x-63\]

collect like terms

\[-7x = -63\]

divide by -7

\[x= \frac{- 63 }{- 7 } = 9\]