Question

$$5(x-3)=3-x$$

Answer

x=3

Solution


Expand.
\[5x-15=3-x\]
Add \(15\) to both sides.
\[5x=3-x+15\]
Simplify  \(3-x+15\)  to  \(18-x\).
\[5x=18-x\]
Add \(x\) to both sides.
\[5x+x=18\]
Simplify  \(5x+x\)  to  \(6x\).
\[6x=18\]
Divide both sides by \(6\).
\[x=\frac{18}{6}\]
Simplify  \(\frac{18}{6}\)  to  \(3\).
\[x=3\]