To solve the equation 3x/4 - 7/4 = 5x + 12, we need to isolate the variable x on one side of the equation. Here's a step-by-step guide on how to solve it:

Step 1: Simplify the equation
To simplify the equation, we'll start by multiplying both sides by the common denominator, which is 4. This will eliminate the fractions.

4 * (3x/4 - 7/4) = 4 * (5x + 12)

Simplifying the equation gives us:

3x - 7 = 20x + 48

Step 2: Group like terms
Next, we'll group the variable terms on one side and the constant terms on the other side of the equation.

To do this, we'll subtract 20x from both sides and add 7 to both sides of the equation:

3x - 20x - 7 + 7 = 20x - 20x + 48 + 7

This simplifies to:

-17x = 55

Step 3: Solve for x
To solve for x, we'll divide both sides of the equation by -17:

-17x/-17 = 55/-17

This gives us:

x = -55/17

Therefore, the solution to the equation 3x/4 - 7/4 = 5x + 12 is x = -55/17.

In summary:
- Simplify the equation by multiplying both sides by the common denominator.
- Group the variable terms on one side and the constant terms on the other side of the equation.
- Solve for x by isolating the variable on one side.
- The solution to the equation is x = -55/17.

सोबतच्या आकृतीत रेषा PQ ll रेषा RS आणि रेषा TW ही छेदिका आहे जरmLTUQ=(3 ×+8 ) mLUVR=(5×+12) आणि mLVX=30 तरLVWX चे माप किती