Solve the linear equation: x + 7 - 8x/3 = 17/6 - 5x/2

Solution:

x + 7 - 8x/3 = 17/6 - 5x/2

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 + 7 - 8x/3 = 17/6 - 5x/2

LCM of the denominators is 6

Multiply the LCM on both sides

⇒ 6(x + 7 - 8x/3) = 6(17/6 - 5x/2)

⇒ 6x + 42 - 16x = 17 - 15x

⇒ 6x - 16x + 15x = 17 - 42

⇒ 5x = - 25

Therefore,

x = - 25/5 = -5

☛ Check: NCERT Solutions Class 8 Maths Chapter 2

Video Solution:

Solve the linear equation: x + 7 - 8x/3 = 17/6 - 5x/2

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.5 Question 3

Summary:

The solution to the given linear equation x + 7 - 8x/3 = 17/6 - 5x/2 is x = -5

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