# Solve the linear equation: n/2 - 3n/4 + 5n/6 = 21

**Solution:**

n/2 - 3n/4 + 5n/6 = 21

Multiply both sides by the LCM of the denominators to get rid of fractional denominator.

Now transpose variables to one side and constants to another side to form a linear equation.

n/2 - 3n/4 + 5n/6 = 21

LCM of the denominators is 12

Multiply the LCM on both sides

⇒ 12(n/2 - 3n/4 + 5n/6) = 12(21)

⇒ 6n - 9n + 10n = 252

⇒ 7n = 252

Hence, n = 252/7 = 36

**Video Solution:**

## Solve the linear equation: n/2 - 3n/4 + 5n/6 = 21

### NCERT Solutions Class 8 Maths - Chapter 2 Exercise 2.5 Question 2

**Summary:**

The solution to the given linear equation n/2 - 3n/4 + 5n/6 = 21 is n = 36