Question

$$\frac{ x }{ 3 } -3 \frac{ x }{ 4 } = \frac{ 1 }{ 12 }$$

Answer

x=-1/5

Solution


Simplify  \(3\times \frac{x}{4}\)  to  \(\frac{3x}{4}\).
\[\frac{x}{3}-\frac{3x}{4}=\frac{1}{12}\]
Simplify  \(\frac{x}{3}-\frac{3x}{4}\)  to  \(-\frac{5x}{12}\).
\[-\frac{5x}{12}=\frac{1}{12}\]
Multiply both sides by \(12\).
\[-5x=\frac{1}{12}\times 12\]
Cancel \(12\).
\[-5x=1\]
Divide both sides by \(-5\).
\[x=-\frac{1}{5}\]

Decimal Form: -0.2