Simplify \({6}^{2}\) to \(36\).
\[3x+\sqrt{36+{8}^{2}}=8x\]
Simplify \({8}^{2}\) to \(64\).
\[3x+\sqrt{36+64}=8x\]
Simplify \(36+64\) to \(100\).
\[3x+\sqrt{100}=8x\]
Since \(10\times 10=100\), the square root of \(100\) is \(10\).
\[3x+10=8x\]
Subtract \(3x\) from both sides.
\[10=8x-3x\]
Simplify \(8x-3x\) to \(5x\).
\[10=5x\]
Divide both sides by \(5\).
\[\frac{10}{5}=x\]
Simplify \(\frac{10}{5}\) to \(2\).
\[2=x\]
Switch sides.
\[x=2\]
x=2
