2/3x – 3/2x = 1/12
By taking LCM for 3x and 2x which is 6x
((2×2) – (3×3))/6x = 1/12
(4-9)/6x = 1/12
-5/6x = 1/12
By cross-multiplying
6x = -60
x = -60/6
= -10
Let us verify the given equation now,
2/3x – 3/2x = 1/12
By substituting the value of ‘x’ we get,
2/3(-10) – 3/2(-10) = 1/12
-2/30 + 3/20 = 1/12
((-2×2) + (3×3))/60 = 1/12
(-4+9)/60 = 1/12
5/60 = 1/12
1/12 = 1/12
Hence, the given equation is verified.
