Solving the equation 3x/4 - 7/4 = 5x - 12

To solve the given equation 3x/4 - 7/4 = 5x - 12, we need to isolate the variable x. We will follow the steps below to solve the equation step by step.

Step 1: Simplify both sides of the equation by multiplying the denominators with the numerators.

The equation becomes: (4 * 3x) / 4 - (4 * 7) / 4 = (4 * 5x) - (4 * 12)

Simplifying further, we get: 3x - 7 = 20x - 48

Step 2: Combine like terms on both sides of the equation.

Combine the x terms on the right side: 3x - 20x = -48 + 7

Simplifying further, we get: -17x = -41

Step 3: Solve for x.

To solve for x, we need to isolate the variable by dividing both sides of the equation by the coefficient of x, which is -17.

Dividing both sides by -17, we get: x = (-41) / (-17)

Simplifying further, we get: x = 41/17

Thus, the solution to the equation 3x/4 - 7/4 = 5x - 12 is x = 41/17.

Summary:
To solve the equation 3x/4 - 7/4 = 5x - 12, we simplified both sides of the equation, combined like terms, and isolated the variable x. The solution to the equation is x = 41/17.

Here given,
3x/4-7/4=5x12
3x/4-7/4=60
so x=
247