Solve : 1/2 (x + 1) + 1/3 (x - 1) = 5/12 (x - 2)
Solution:
Given, the equation is 1/2 (x + 1) + 1/3 (x - 1) = 5/12 (x - 2)
We have to solve the equation
On solving the equation for x,
1/2 (x + 1) + 1/3 (x - 1) = 5/12 (x - 2)
1/2 (x) + 1/2 + 1/3 (x) - 1/3 = 5/12 (x) - 5/12 (2)
x/2 + 1/2 + x/3 - 1/3 = 5x/12 - 5/6
By grouping of common terms,
x/2 + x/3 + 1/2 - 1/3 = 5x/12 - 5/6
5x/6 + 1/6 = 5x/12 - 5/6
By transposing,
5x/6 - 5x/12 = -5/6 - 1/6
5x(1/6 - 1/12) = 1/6 (-5 - 1)
5x(1/12) = -6/6
5x/12 = -1
5x = -12
x = -12/5
Therefore, the value of x is -12/5
✦ Try This: Solve : 1/3 (x + 2) + 1/2 (x - 4) = 3/11 (x - 5)
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2
NCERT Exemplar Class 8 Maths Chapter 4 Problem 63
Solve : 1/2 (x + 1) + 1/3 (x - 1) = 5/12 (x - 2)
Summary:
On solving the equation 1/2 (x + 1) + 1/3 (x - 1) = 5/12 (x - 2), we get x = -12/5
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