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 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
$\frac{x}{3}+4=2$
We need to get rid of everything other than 'x' from the LHS
+ 4 becomes zero by subtracting '4' from it.
$\frac{x}{3}+4-4=2-4$
$\frac{x}{3}=-2$
If we multiply by '3', LHS becomes 'x'
$\frac{x}{3}\times 3=-2\times 3$
$x=-6$