Question

$$2x+11=8x-7$$

Answer

x=3

Solution


Subtract \(2x\) from both sides.
\[11=8x-7-2x\]
Simplify  \(8x-7-2x\)  to  \(6x-7\).
\[11=6x-7\]
Add \(7\) to both sides.
\[11+7=6x\]
Simplify  \(11+7\)  to  \(18\).
\[18=6x\]
Divide both sides by \(6\).
\[\frac{18}{6}=x\]
Simplify  \(\frac{18}{6}\)  to  \(3\).
\[3=x\]
Switch sides.
\[x=3\]