Question

$$\frac{ 2x }{ 5 } - \frac{ 9 }{ 3 } = \frac{ 1 }{ 3 }$$

Answer

x=25/3

Solution


Simplify  \(\frac{9}{3}\)  to  \(3\).
\[\frac{2x}{5}-3=\frac{1}{3}\]
Add \(3\) to both sides.
\[\frac{2x}{5}=\frac{1}{3}+3\]
Simplify  \(\frac{1}{3}+3\)  to  \(\frac{10}{3}\).
\[\frac{2x}{5}=\frac{10}{3}\]
Multiply both sides by \(5\).
\[2x=\frac{10}{3}\times 5\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[2x=\frac{10\times 5}{3}\]
Simplify  \(10\times 5\)  to  \(50\).
\[2x=\frac{50}{3}\]
Divide both sides by \(2\).
\[x=\frac{\frac{50}{3}}{2}\]
Simplify  \(\frac{\frac{50}{3}}{2}\)  to  \(\frac{50}{3\times 2}\).
\[x=\frac{50}{3\times 2}\]
Simplify  \(3\times 2\)  to  \(6\).
\[x=\frac{50}{6}\]
Simplify  \(\frac{50}{6}\)  to  \(\frac{25}{3}\).
\[x=\frac{25}{3}\]

Decimal Form: 8.333333