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

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 get rid of everything other than '$x$' from the LHS.
On subtracting 4 from both sides of the equation we get:
$\frac{x}{3}+4-4=2-4$
$\frac{x}{3}=-2$
On multiplying both sides of the equation by '3' we get:
$\frac{x}{3}\times 3=-2\times 3$
$x=-6$