Question

$$x+7=3x+11$$

Answer

x=-2

Solution


Subtract \(x\) from both sides.
\[7=3x+11-x\]
Simplify  \(3x+11-x\)  to  \(2x+11\).
\[7=2x+11\]
Subtract \(11\) from both sides.
\[7-11=2x\]
Simplify  \(7-11\)  to  \(-4\).
\[-4=2x\]
Divide both sides by \(2\).
\[-\frac{4}{2}=x\]
Simplify  \(\frac{4}{2}\)  to  \(2\).
\[-2=x\]
Switch sides.
\[x=-2\]