Question

$$x+1=5x/2$$

Answer

x=2/3

Solution


Simplify  \(5\times \frac{x}{2}\)  to  \(\frac{5x}{2}\).
\[x+1=\frac{5x}{2}\]
Multiply both sides by \(2\).
\[2x+2=5x\]
Subtract \(2x\) from both sides.
\[2=5x-2x\]
Simplify  \(5x-2x\)  to  \(3x\).
\[2=3x\]
Divide both sides by \(3\).
\[\frac{2}{3}=x\]
Switch sides.
\[x=\frac{2}{3}\]

Decimal Form: 0.666667