Solve for x in the following equations :
` (3)/(4) x=(3)/(2)`

Answer

To solve the equation \( \frac{3}{4} x = \frac{3}{2} \), we will follow these steps:

### Step 1: Eliminate the fraction by multiplying both sides by 4.
\[ 4 \cdot \left(\frac{3}{4} x\right) = 4 \cdot \left(\frac{3}{2}\right) \]
This simplifies to:
\[ 3x = 4 \cdot \frac{3}{2} \]

### Step 2: Simplify the right side.
Calculating \( 4 \cdot \frac{3}{2} \):
\[ 4 \cdot \frac{3}{2} = \frac{4 \cdot 3}{2} = \frac{12}{2} = 6 \]
So now we have:
\[ 3x = 6 \]

### Step 3: Solve for x by dividing both sides by 3.
\[ x = \frac{6}{3} \]
This simplifies to:
\[ x = 2 \]

### Final Answer:
Thus, the solution for \( x \) is:
\[ x = 2 \]

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