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Solve the equation: 3/4x = 9

April 2, 2026Mathematics

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Answer

\text{12}

Step-by-step solution

3 steps

Here's how to solve the equation:

Write the given equation.
$\frac{3}{4}x = 9$
To isolate $x$ , multiply both sides of the equation by the reciprocal of $\frac{3}{4}$ , which is $\frac{4}{3}$ .
$\left(\frac{4}{3}\right) \cdot \left(\frac{3}{4}x\right) = 9 \cdot \left(\frac{4}{3}\right)$
Simplify both sides.
$x = \frac{9 \cdot 4}{3}$ $x = \frac{36}{3}$ $x = 12$
The value of $x$ is $\boxed{\text{12}}$ .

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