Question

Solve the equations:

(6) 5 – 5p = 2p + 9

Answer 1

5 – 5p = 2p + 9
Subtracting 2p from both sides, we obtain:
5 – 5p – 2p = 2p + 9 – 2p
$\Rightarrow$5 – 7p = 9
On subtracting 5 from both the sides, we obtain:
5 – 7p – 5 = 9 – 5
$\Rightarrow$ –7p = 4
Dividing both sides by –7, we obtain:
$$\begin{gathered} \frac{-7p}{-7}=\frac{4}{-7} \\ \Rightarrow p=\frac{-4}{7} \end{gathered}$$