# Solve the linear equation: x/2 - 1/5 = x/3 + 1/4

**Solution:**

x/2 - 1/5 = x/3 + 1/4

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.

x/2 - 1/5 = x/3 + 1/4

LCM of the denominators is 60

Multiply the LCM on both sides

⇒ 60(x/2 - 1/5) = 60(x/3 + 1/4)

⇒ 30x - 12 = 20x + 15

⇒ 30x - 20x = 15 + 12

⇒ 10x = 27

Therefore,

x = 27/10 = 2/7

**ā Check: **Class 8 Maths NCERT Solutions Chapter 2

**Video Solution:**

## Solve the linear equation: x/2 - 1/5 = x/3 + 1/4

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.5 Question 1

**Summary:**

The solution to the given linear equation x/2 - 1/5 = x/3 + 1/4 is x = 2/7

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