Question

$$6- \frac{ x }{ 4 } = \frac{ x }{ 8 }$$

Answer

x=16

Solution


Multiply both sides by \(8\) (the LCM of \(4, 8\)).
\[48-2x=x\]
Add \(2x\) to both sides.
\[48=x+2x\]
Simplify  \(x+2x\)  to  \(3x\).
\[48=3x\]
Divide both sides by \(3\).
\[\frac{48}{3}=x\]
Simplify  \(\frac{48}{3}\)  to  \(16\).
\[16=x\]
Switch sides.
\[x=16\]