Question

How do you solve `2( p - 5) = 6( p + 11)`?

Answer 1

`p = -76/4=-19`

Explanation:

You need to expand both sides of the equation! So -

`2p - 10 = 6p + 66`
`2p=6p+76`
-`4p=76`
`p=-76/4`
`p=-19`

Answer 2

Expand the brackets
`2p-10=6p+66`
Transfer all the variables to one side and all the numbers to the other
`2p-6p=66+10`
Solve
`-4p=76`
Divide both sides by -4
`(cancel(-4) p)/(cancel(-4)) = (cancel76^-19)/(cancel(-4)^1)`
`therefore p=-19`