3p-2(6-2p)=2(p-5)-47

Solution for 3p-2(6-2p)=2(p-5)-47 equation:

3p-2(6-2p)=2(p-5)-47

We move all terms to the left:

3p-2(6-2p)-(2(p-5)-47)=0

We add all the numbers together, and all the variables

3p-2(-2p+6)-(2(p-5)-47)=0

We multiply parentheses

3p+4p-(2(p-5)-47)-12=0


We calculate terms in parentheses: -(2(p-5)-47), so:

2(p-5)-47

We multiply parentheses

2p-10-47

We add all the numbers together, and all the variables

2p-57

Back to the equation:

-(2p-57)


We add all the numbers together, and all the variables

7p-(2p-57)-12=0

We get rid of parentheses

7p-2p+57-12=0

We add all the numbers together, and all the variables

5p+45=0

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

5p=-45

p=-45/5

p=-9