How do you solve 2( p + 1) = 3( p - 1)?

1 Answer
Apr 9, 2018

The solution is p=5.

Explanation:

Use the distributive property to expand the multiplication:

color(blue)2(p+1)=color(red)3(p-1)

color(blue)2*p+color(blue)2*1=color(red)3*p-color(red)3*1

2p+2=3p-3

2p+2color(blue)+color(blue)3=3p-3color(blue)+color(blue)3

2p+2color(blue)+color(blue)3=3pcolor(red)cancelcolor(black)(color(black)-3color(blue)+color(blue)3)

2p+2color(blue)+color(blue)3=3p

2p+5=3p

2p+5color(blue)-color(blue)(2p)=3pcolor(blue)-color(blue)(2p)

color(red)cancelcolor(black)(2p)+5color(red)cancelcolor(blue)(color(blue)-color(blue)(2p))=3pcolor(blue)-color(blue)(2p)

5=3pcolor(blue)-color(blue)(2p)

5=p

p=5

That's the solution. Hope this helped!