Solving X/2 - 1/5 = X/3 + 1/4
To solve this equation, we need to find the value of X that satisfies the given equation. Let's break it down step by step:
- Step 1: Simplify the equation by finding a common denominator for the fractions on both sides.
- Step 2: Multiply each term by the common denominator to eliminate the fractions.
- Step 3: Combine like terms and isolate X to find the solution.
Let's go through each step in detail:

Step 1: Simplify the equation
X/2 - 1/5 = X/3 + 1/4
To find a common denominator, we multiply 2, 5, 3, and 4 to get 60.
Now, the equation becomes:
30X - 12 = 20X + 15

Step 2: Eliminate fractions
Multiply each term by 60 to get rid of the fractions:
60(X/2) - 60(1/5) = 60(X/3) + 60(1/4)
This simplifies to:
30X - 12 = 20X + 15

Step 3: Solve for X
Now, combine like terms:
30X - 20X = 15 + 12
10X = 27
Divide by 10 on both sides to isolate X:
X = 27/10
Therefore, the solution to the equation X/2 - 1/5 = X/3 + 1/4 is X = 27/10.