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Solve the linear equations X/2-1/5=x/3 1/4?
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Solve the linear equations X/2-1/5=x/3 1/4?
Solution:

Given equation is X/2-1/5=x/3 1/4

To solve this equation, we need to follow the below steps:

Step 1: Convert mixed fraction into improper fraction.

3 1/4 = (3*4+1)/4 = 13/4

Step 2: Get rid of fractions by multiplying the whole equation by the LCD (Least Common Multiple) of the denominators.

LCD of 2, 5 and 3 is 30. So, we multiply both sides of the equation by 30.

30 * X/2 - 30 * 1/5 = 30 * x/3 1/4

15X - 6 = 10x - 13/4

Step 3: Group like terms.

15X - 10X = -13/4 + 6

5X = 23/4

Step 4: Solve for X.

X = (23/4) / 5

X = 23/20

Therefore, X = 1 3/20

Final Answer: X = 1 3/20
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Solve the linear equations X/2-1/5=x/3 1/4?
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