Question

$$8x- \frac{ 1 }{ 5 } =5x$$

Answer

x=1/15

Solution


Subtract \(8x\) from both sides.
\[-\frac{1}{5}=5x-8x\]
Simplify  \(5x-8x\)  to  \(-3x\).
\[-\frac{1}{5}=-3x\]
Divide both sides by \(-3\).
\[\frac{-\frac{1}{5}}{-3}=x\]
Two negatives make a positive.
\[\frac{\frac{1}{5}}{3}=x\]
Simplify  \(\frac{\frac{1}{5}}{3}\)  to  \(\frac{1}{5\times 3}\).
\[\frac{1}{5\times 3}=x\]
Simplify  \(5\times 3\)  to  \(15\).
\[\frac{1}{15}=x\]
Switch sides.
\[x=\frac{1}{15}\]

Decimal Form: 0.066667