2.5(-3p-8)+5=4(2.25p+5.5)+15.5

Solution for 2.5(-3p-8)+5=4(2.25p+5.5)+15.5 equation:

2.5(-3p-8)+5=4(2.25p+5.5)+15.5

We move all terms to the left:

2.5(-3p-8)+5-(4(2.25p+5.5)+15.5)=0

We multiply parentheses

-7.5p-(4(2.25p+5.5)+15.5)-20+5=0


We calculate terms in parentheses: -(4(2.25p+5.5)+15.5), so:

4(2.25p+5.5)+15.5

We multiply parentheses

8p+22+15.5

We add all the numbers together, and all the variables

8p+37.5

Back to the equation:

-(8p+37.5)


We add all the numbers together, and all the variables

-7.5p-(8p+37.5)-15=0

We get rid of parentheses

-7.5p-8p-37.5-15=0

We add all the numbers together, and all the variables

-15.5p-52.5=0

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

-15.5p=52.5

p=52.5/-15.5

p=-3+2/5.1666666666667