Question

$$\frac{3x+2}{x}=1+\frac{2}{x}$$

Answer

[No Solution]

Solution


Multiply both sides by the Least Common Denominator: \(x\).
\[3x+2=x+2\]
Cancel \(2\) on both sides.
\[3x=x\]
Subtract \(x\) from both sides.
\[3x-x=0\]
Simplify  \(3x-x\)  to  \(2x\).
\[2x=0\]
Divide both sides by \(2\).
\[x=0\]
Check solution
When \(x=0\), the original equation \(\frac{3x+2}{x}=1+\frac{2}{x}\) does not hold true.We will drop \(x=0\) from the solution set.
Therefore,
No solution exists.