Factor out the common term \(3\).
\[3(10x-19y)=172\]
Divide both sides by \(3\).
\[10x-19y=\frac{172}{3}\]
Add \(19y\) to both sides.
\[10x=\frac{172}{3}+19y\]
Divide both sides by \(10\).
\[x=\frac{\frac{172}{3}+19y}{10}\]
Simplify \(\frac{\frac{172}{3}+19y}{10}\) to \(\frac{\frac{172}{3}}{10}+\frac{19y}{10}\).
\[x=\frac{\frac{172}{3}}{10}+\frac{19y}{10}\]
Simplify \(\frac{\frac{172}{3}}{10}\) to \(\frac{172}{3\times 10}\).
\[x=\frac{172}{3\times 10}+\frac{19y}{10}\]
Simplify \(3\times 10\) to \(30\).
\[x=\frac{172}{30}+\frac{19y}{10}\]
Simplify \(\frac{172}{30}\) to \(\frac{86}{15}\).
\[x=\frac{86}{15}+\frac{19y}{10}\]
x=86/15+(19*y)/10
