Solve the following equations : 5(x-3)=3(x+2) - Vidyadip

Question

Solve the following equations :

$5(x-3)=3(x+2)$

✓

Answer

$5(x-3)=3(x+2)$
$
\begin{aligned}
& \therefore 5 x-15=3 x+6 \\
& \therefore 5 x-15+15=3 x+6+15
\end{aligned}
$
...[Adding 15 on both the sides]
$
\begin{aligned}
& \therefore 5 x=3 x+21 \\
& \therefore 5 x-3 x=3 x+21-3 x
\end{aligned}
$
...[Subtracting $3 x$ from both the sides]
$
\therefore 2 x=21
$
$\therefore \frac{2 x}{2}=\frac{21}{2} \ldots$ [Dividing both the sides by 2 ]
$
\therefore x=\frac{21}{2}
$

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