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solve for x. \\(\\frac{3}{9} = \\frac{x}{12}\\) simplify your answer as…

Question

solve for x.
\\(\frac{3}{9} = \frac{x}{12}\\)
simplify your answer as much as possible.
\\(x = \\)

Explanation:

Step1: Cross - multiply the proportion

For the equation \(\frac{3}{9}=\frac{x}{12}\), cross - multiplying gives us \(9\times x = 3\times12\).

Step2: Simplify the right - hand side

Calculate \(3\times12 = 36\), so the equation becomes \(9x=36\).

Step3: Solve for x

Divide both sides of the equation \(9x = 36\) by 9. That is \(x=\frac{36}{9}\).

Step4: Simplify the fraction

Simplify \(\frac{36}{9}\), and we get \(x = 4\).

Answer:

\(x = 4\)