Solving the Linear Equation:

To solve the given linear equation, we need to follow the steps mentioned below:

Step 1: Multiply both sides of the equation by the common denominator of the fractions involved in the equation. In this case, the common denominator is 60.

- 60 × (×\2 - 1/5) = 60 × (×/3 1/4)

- Simplifying the above equation, we get:

- 30× - 12 = 20× + 15

Step 2: Simplify the equation by collecting the like terms.

- 30× - 20× = 15 + 12

- 10× = 27

Step 3: Solve for the variable x by dividing both sides of the equation by 10.

- x = 27/10

Therefore, the solution of the given linear equation is x = 27/10.

Explanation:

The given linear equation involves fractions, and to solve such equations, we need to multiply both sides of the equation by the common denominator of the fractions involved. In this case, the common denominator is 60.

After multiplying both sides of the equation by 60, we simplify the equation by collecting the like terms. We get 30x - 12 = 20x + 15. Further simplifying the equation, we get 10x = 27.

To solve for the variable x, we divide both sides of the equation by 10. Therefore, the solution of the given linear equation is x = 27/10.