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

Solution:

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

We have to solve the equation

On solving the equation for x,

3x - (x - 2)/3 = 4 - (x - 1)/4

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

By grouping of common terms,

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

8x/3 + 2/3 = 17/4 - x/4

By transposing,

8x/3 + x/4 = 17/4 - 2/3

(32x + 3x)/12 = (51 - 8)/12

35x/12 = 43/12

35x = 43

x = 43/35

Therefore, the value of x is 43/35

✦ Try This: Solve : x - (3x - 4)/5 = 6 - (x - 11)/7

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

NCERT Exemplar Class 8 Maths Chapter 4 Problem 67

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

Summary:

On solving the equation 3x - (x - 2)/3 = 4 - (x - 1)/4, we get x = 43/35

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