Question

$$x+2(x-1)= \frac{ 5 }{ 2 }$$

Answer

x=3/2

Solution


Expand.
\[x+2x-2=\frac{5}{2}\]
Simplify  \(x+2x-2\)  to  \(3x-2\).
\[3x-2=\frac{5}{2}\]
Add \(2\) to both sides.
\[3x=\frac{5}{2}+2\]
Simplify  \(\frac{5}{2}+2\)  to  \(\frac{9}{2}\).
\[3x=\frac{9}{2}\]
Divide both sides by \(3\).
\[x=\frac{\frac{9}{2}}{3}\]
Simplify  \(\frac{\frac{9}{2}}{3}\)  to  \(\frac{9}{2\times 3}\).
\[x=\frac{9}{2\times 3}\]
Simplify  \(2\times 3\)  to  \(6\).
\[x=\frac{9}{6}\]
Simplify  \(\frac{9}{6}\)  to  \(\frac{3}{2}\).
\[x=\frac{3}{2}\]

Decimal Form: 1.5