Question

Solve the following equation:
$5p+7=19-2p$

Answer 1

Given $5p+7=19-2p$
Transposing $7$from L.H.S to R.H.S:
$$\begin{gathered} 5p=19-2p-7 \\ 5p=12-2p \end{gathered}$$
Transposing $2p$ from R.H.S to L.H.S:
$$\begin{gathered} 5p+2p=12 \\ 7p=12 \end{gathered}$$
Dividing both sides by$7$:
$$\begin{gathered} \frac{7p}{7}=\frac{12}{7} \\ p=\frac{12}{7} \end{gathered}$$
Hence the value of $p=\frac{12}{7}$ is the required solution.