(3p-8)/(p+5)=-3/8

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Solution for (3p-8)/(p+5)=-3/8 equation: 



(3p-8)/(p+5)=-3/8

We move all terms to the left:

(3p-8)/(p+5)-(-3/8)=0



Domain of the equation: (p+5)!=0

We move all terms containing p to the left, all other terms to the right

p!=-5

p∈R



We get rid of parentheses

(3p-8)/(p+5)+3/8=0

We calculate fractions


(24p-64)/(8p+40)+(3p+15)/(8p+40)=0

We multiply all the terms by the denominator


(24p-64)+(3p+15)=0

We get rid of parentheses

24p+3p-64+15=0

We add all the numbers together, and all the variables

27p-49=0

We move all terms containing p to the left, all other terms to the right

27p=49

p=49/27

p=1+22/27

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