Questions: 3/4 x=12 x=

3/4 x=12 x=
Transcript text: \[ \frac{3}{4} x=12 \\ x= \]
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Solution

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Solution Steps

Step 1: Isolate the variable \( x \)

To solve for \( x \), we need to isolate it on one side of the equation. The equation is: \[ \frac{3}{4} x = 12 \]

Step 2: Multiply both sides by the reciprocal of \( \frac{3}{4} \)

The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \). Multiply both sides of the equation by \( \frac{4}{3} \) to solve for \( x \): \[ \frac{4}{3} \cdot \frac{3}{4} x = 12 \cdot \frac{4}{3} \]

Step 3: Simplify the equation

Simplify the left side of the equation: \[ x = 12 \cdot \frac{4}{3} \] \[ x = 16 \]

Final Answer

\(\boxed{x = 16}\)

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