Answer:
[tex]x= \frac{- r}/{(Pn -q)}[/tex]
Step-by-step explanation:
The first step is to group the terms that contain x on one side. We can take qx on both sides:
[tex]Pnx = qx - r\\Pnx -qx= qx - r-qx\\Pnx -qx= - r[/tex]
Then, you can find the common factor of the two term on the left hand side. For this case, the common term is x:
[tex]x(Pn -q)= - r[/tex]
Then, we divide by (Pn-q) on both sides (remember to treat Pn-q as one factor):
[tex]\frac{x(Pn -q)}{(Pn -q)}= \frac{- r}/{(Pn -q)}[/tex]
[tex]x= \frac{- r}/{(Pn -q)}[/tex]
