Question
Solve the following equations :
$13 x-5=\frac{3}{2}$
✓
Answer
$13 x-5=\frac{3}{2}$
$
\therefore \quad(13 x-5) \times 2=\frac{3}{2} \times 2
$
...[Multiplying both the sides by 2 ]
$
\begin{array}{ll}
\therefore & 26 x-10=3 \\
\therefore & 26 x-10+10=3+10
\end{array}
$
... [Adding 10 on both the sides]
$
\begin{aligned}
& \therefore \quad 26 x=13 \\
& \therefore \quad \frac{26 x}{26}=\frac{13}{26} \\
& \therefore \quad x=\frac{1}{2}
\end{aligned}
$
...[Dividing both the sides by 26]
$
\therefore \quad(13 x-5) \times 2=\frac{3}{2} \times 2
$
...[Multiplying both the sides by 2 ]
$
\begin{array}{ll}
\therefore & 26 x-10=3 \\
\therefore & 26 x-10+10=3+10
\end{array}
$
... [Adding 10 on both the sides]
$
\begin{aligned}
& \therefore \quad 26 x=13 \\
& \therefore \quad \frac{26 x}{26}=\frac{13}{26} \\
& \therefore \quad x=\frac{1}{2}
\end{aligned}
$
...[Dividing both the sides by 26]
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