Question

Show step by step for solving -8(p+2)+p=4(p+3)+5

Answer 1

First do the products on both sides of the equation

`\begin{gathered} -8(p+2)+p=4(p+3)+5 \\ -8p-16+p=4p+12+5 \end{gathered}`

Then, add all like terms

`-7p-16=4p+17`

Now add 16 to both sides of the equation

`\begin{gathered} -7p-16+16=4p+17+16 \\ -7p=4p+33 \end{gathered}`

Now subtract 4p from both sides of the equation

`\begin{gathered} -7p-4p=4p+33-4p \\ -11p=33 \end{gathered}`

Finally divide by -11 to both sides of the equation

`\begin{gathered} -(11p)/(-11)=(33)/(-11) \\ \text{ Therefore,} \\ p=-3 \end{gathered}`