Question

$$\frac{ x }{ 12 } +5= \frac{ x }{ 3 } + \frac{ x }{ 4 }$$

Answer

x=10

Solution


Simplify  \(\frac{x}{3}+\frac{x}{4}\)  to  \(\frac{7x}{12}\).
\[\frac{x}{12}+5=\frac{7x}{12}\]
Multiply both sides by \(12\).
\[x+60=7x\]
Subtract \(x\) from both sides.
\[60=7x-x\]
Simplify  \(7x-x\)  to  \(6x\).
\[60=6x\]
Divide both sides by \(6\).
\[\frac{60}{6}=x\]
Simplify  \(\frac{60}{6}\)  to  \(10\).
\[10=x\]
Switch sides.
\[x=10\]