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

☛ 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

☛ Related Questions:

• Solve the linear equation: n/2 - 3n/4 + 5n/6 = 21
• Solve the linear equation: x + 7 - 8x/3 = 17/6 - 5x/2
• Solve the linear equation: (x - 5)/3 = (x - 3)/5
• Solve the linear equation: (3t - 2)/4 - (2t + 3)/3 = 2/3 - t