How do you solve $4-p/(p-1)=2/(p-1)$ ?

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Answer 1 · 2017-01-17T07:18:02

$p=2$

$4-p/(p-1)=2/(p-1)$ is equivalent to

$4=p/(p-1)+2/(p-1)$

or $4=(p+2)/(p-1)$

or $4xxcolor(red)((p-1))=(p+2)/(p-1)xxcolor(red)((p-1))$

or $4p-4=p+2$

or $4pcolor(red)(-p)-4color(red)(+4)=pcolor(red)(-p)+2color(red)(+4)$

or $3p=6$

or $3pxx1/3=6xx1/3=6/3=2$

i.e. $p=2$

How do you solve 4-p/(p-1)=2/(p-1)4-p/(p-1)=2/(p-1)?