Question

Solve the following equation:
$\frac{5x}{3}+3=x+7$

Answer 1

Given $\frac{5x}{3}+3=x+7$
Transposing $3$ from L.H.S to R.H.S:
$$\begin{gathered} \frac{5x}{3}=x+7-3 \\ \frac{5x}{3}=x+4 \end{gathered}$$
Multiplying both sides by $3$:
$\frac{5x}{3}\times 3=3\times \left(x+4\right)$
$5x=3x+12$ ( By removing bracket)
Transposing $3x$ from R.H.S to L.H.S:
$$\begin{gathered} 5x-3x=12 \\ 2x=12 \end{gathered}$$
Dividing both sides by $2$:
$$\begin{gathered} \frac{2x}{2}=\frac{12}{2} \\ x=6 \end{gathered}$$
hence the value of $x=6$ is the required solution.