Question

What is the operation to be perfomed to change $2x+3=6$ to $2x=3$?

• A. Adding 4 on both the sides
• B. Adding 3 on both the sides
• C. Subtracting 3 from both the sides
• D. Dividing both the sides by 2

Answer 1

The correct option is C Subtracting 3 from both the sides

The given equation is:
$2x+3=6$
Subtracting 3 from both the sides, we get
$2x+3-3=6-3$
$\Rightarrow$ $2x=3$
Therefore, we need to subtract 3 from both the sides.

If we add 4 on both the sides, we get
$2x+3+4=6+4$
$\Rightarrow$$2x+7$ = 10
$\therefore$ We can't add 4.
If we add 3 on both the sides, we get
$2x+3+3=6+3$
$\Rightarrow$$2x+6$ = 9
$\therefore$ We can't add 3.
If we divide both the sides by 2, we have
$\frac{2x+3}{2}=\frac{6}{2}$
$\Rightarrow$$x+1.5$ = 3
$\therefore$ We can't divide both the sides by 2.