Question

$$\frac{ 8x }{ 14 } -6=18$$

Answer

x=42

Solution


Simplify  \(\frac{8x}{14}\)  to  \(\frac{4x}{7}\).
\[\frac{4x}{7}-6=18\]
Add \(6\) to both sides.
\[\frac{4x}{7}=18+6\]
Simplify  \(18+6\)  to  \(24\).
\[\frac{4x}{7}=24\]
Multiply both sides by \(7\).
\[4x=24\times 7\]
Simplify  \(24\times 7\)  to  \(168\).
\[4x=168\]
Divide both sides by \(4\).
\[x=\frac{168}{4}\]
Simplify  \(\frac{168}{4}\)  to  \(42\).
\[x=42\]