### Home > PC3 > Chapter 8 > Lesson 8.3.4 > Problem8-142

8-142.

Solve exactly for $x$: $\frac{\sqrt{5}+x}{\sqrt{5}+\sqrt{2}}=3$       Homework Help ✎

Multiply both sides of the equation by $\sqrt{5} + \sqrt{2}$.

$\sqrt{5} + \textit{x} = 3(\sqrt{5} + \sqrt{2})$

Distribute.

$\sqrt{5} + \textit{x} = 3\sqrt{5} + 3\sqrt{2}$

Subtract $\sqrt{5}$ from both sides of the equation.

$x = 3\sqrt{5} + 3\sqrt{2} - \sqrt{5}$

Simplify.