Solve the linear equation: (x - 5)/3 = (x - 3)/5

Solution:

(x - 5)/3 = (x - 3)/5

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 - 5) / 3 = (x - 3) / 5

LCM of the denominators is 15

Multiply the LCM on both sides

⇒ 15[(x - 5)/3] = 15[(x - 3)/5]

⇒ 5x - 25 = 3x - 9

⇒ 2x = 16

Hence,

x = 16/2 = 8

☛ Check: Class 8 Maths NCERT Solutions Chapter 2

Video Solution:

Solve the linear equation: (x - 5)/3 = (x - 3)/5

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.5 Question 4

Summary:

The solution to the given linear equation (x - 5)/3 = (x - 3)/5 is x = 8

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