Question

Solve p(x + q) = r For x

Answer 1

`x=(r)/(p)-q`

1) In this question, we can see a literal equation. We need to perform some algebraic manipulations, adding, multiplying, dividing to leave "x" isolated on one side.

2) So, let's do it:

`\begin{gathered} p(x+q)=r \\ (p(x+q))/(p)=(r)/(p),(p\\e0) \\ x+q=(r)/(p) \\ x+q-q=(r)/(p)-q \\ x=(r)/(p)-q \end{gathered}`

Note that we started out dividing both sides by p, regarding p ≠0 and then we continued on so that we could have x isolated on the left side.