Question

$$5n+\frac{7}{2}=\frac{3n-14$$

Answer

n=-43

Solution


Subtract \(3n\) from both sides.
\[5n+72-3n=-14\]
Simplify  \(5n+72-3n\)  to  \(2n+72\).
\[2n+72=-14\]
Subtract \(72\) from both sides.
\[2n=-14-72\]
Simplify  \(-14-72\)  to  \(-86\).
\[2n=-86\]
Divide both sides by \(2\).
\[n=-\frac{86}{2}\]
Simplify  \(\frac{86}{2}\)  to  \(43\).
\[n=-43\]