5p-(3+p)=6p+1

Question

How do I simplify and solve this? 

Answer 1

5p-3-p=6p+1

 

 4p-3= 6p+1

-4p-1=-4p-1...add

========

     -4=2p

p=-2

 

to check

5(-2)-(3+(-2))=6(-2)+1

-10-(1)=-12+1

-11=-11...yes

 

Answer 2

You need to remember to distribute the -1 that is on the outside of the parentheses to the elements within the parentheses.

 

You get this

 

5p - 3 - p = 6p + 1

 

Combine the like terms on the left

 

4p - 3 = 6p + 1

 

To make things easier, commute the equation by switching the sides

 

6p + 1 = 4p - 3

 

Bring your 4p to the left by subtracting it from both sides

 

2p + 1 = -3

 

Subtract 1 from both sides

 

2p = -4

 

Now divide by 2 on both sides

 

p = -2

 

Always go back and make sure it works in the original equation

 

5(-2) - (3 + (-2)) = 6(-2) + 1

-10 - (3-2) = -12 + 1

-10 - 1 = -12 + 1

-11 = -11

 

All the best

 

Lori