Solve : x/2 - 1/4(x - 1/3) = 1/6 (x + 1) + 1/12

Solution:

Given, the equation is x/2 - 1/4(x - 1/3) = 1/6 (x + 1) + 1/12

We have to solve the equation.

On solving the equation for x,

x/2 - 1/4(x - 1/3) = 1/6 (x + 1) + 1/12

x/2 - 1/4 (x) + 1/4 (1/3) = 1/6 (x) + 1/6 + 1/12

x/2 - x/4 + 1/12 = x/6 + 1/6 + 1/12

By cancelling out common terms,

x/2 - x/4 = x/6 + 1/6

x(1/2 - 1/4) = x/6 + 1/6

x(1/4) = x/6 + 1/6

x/4 = x/6 + 1/6

By transposing,

x/4 - x/6 = 1/6

x(1/4 - 1/6) = 1/6

x(1/12) = 1/6

x/12 = 1/6

x = 12/6

x = 2

Therefore, the value of x is 2.

✦ Try This: Solve : x/3 - 1/3(x - 1/4) = 1/5 (2x + 3) + 1/2

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

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NCERT Exemplar Class 8 Maths Chapter 4 Problem 62

Solve : x/2 - 1/4(x - 1/3) = 1/6 (x + 1) + 1/12

Summary:

On solving the equation x/2 - 1/4(x - 1/3) = 1/6 (x + 1) + 1/12, we get x = 2

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