Move the negative sign to the left.
\[\begin{aligned}&fx=2x+m\\&x=-\frac{m}{q}\end{aligned}\]
Break down the problem into these 2 equations.
\[fx=2x+m\]
\[fx=x\]
Solve the 1st equation: \(fx=2x+m\).
Subtract \(2x\) from both sides.
\[fx-2x=m\]
Factor out the common term \(x\).
\[x(f-2)=m\]
Divide both sides by \(f-2\).
\[x=\frac{m}{f-2}\]
\[x=\frac{m}{f-2}\]
Solve the 2nd equation: \(fx=x\).
Subtract \(fx\) from both sides.
\[0=x-fx\]
Factor out the common term \(x\).
\[0=x(1-f)\]
Divide both sides by \(1-f\).
\[0=x\]
Switch sides.
\[x=0\]
\[x=0\]
Collect all solutions.
\[x=\frac{m}{f-2},0\]
x=m/(f-2),0
