algebra II homework help..???

Question

3|p-5|=2p

i keep getting p=5 2/3 ...am i right or wrong??

3|2a+7| =3a+12
i got a= -3 and a= -11/3

|3x-7| -5= -3
i got x= 3 and x=5/3

please correct me if im wrong in any..

Answer 1

3|p-5| = 2p; | | represents absolute value.

First
3(p-5) = 2p
3p - 15 = 2p
p = 15

Second
So, 10 or -10 work work inside | |.
p also equals -5

Answer 2

3|p-5|=2p
case 1: p-5 >0
3(p-5)=2p
3p-15=2p
p=15
case 2: p-5 < 0 then |p-5| = -(p-5) =-p+5
3(-p+5)=2p
-3p+15=2p
-5p=-15
p=5

You'll have to consider 2a+7 >0
and 2a+7 < 0 substitue -2a-7 and solve in this case

consider 3x-7 > 0 use 3x-7
3x-7 <0 use -3x+7