Question

Choose the correct option which gives the steps in finding the value of $x$ in the equation:
$\frac{x}{3}+4=2$

• A. Step 1: Subtract 2 from both the sides.
  Step 2: Multiply by 3 on both the sides.
• B. Step 1: Subtract 4 from both the sides.
  Step 2: Multiply by 3 on both the sides.
• C. Step 1: Multiply by 3 from both the sides.
  Step 2: Subtract 4 on both the sides.
• D. Both options B and C are correct.

Answer 1

The correct option is B

Step 1: Subtract 4 from both the sides.
Step 2: Multiply by 3 on both the sides.

The given equation is $\frac{x}{3}+4=2.$
We need to remove everything other than 'x' from the LHS.
So, we will subtract 4 from LHS and RHS and we will get,
$\Rightarrow \frac{x}{3}+4-4=2-4$
$\Rightarrow \frac{x}{3}=-2$
Now, we will multiply both LHS and RHS by 3, we will get,
$\Rightarrow \frac{x}{3}\times 3=-2\times 3$
$\Rightarrow x=-6$
Therefore, the steps involved are:
Step 1: Subtract 4 from both the sides.
Step 2: Multiply by 3 on both the sides.