Questions: Solve for x 2/8 = x/12 Simplify your answer as much as possible. x=

Solve for x 2/8 = x/12 Simplify your answer as much as possible. x=
Transcript text: Solve for $x$ \[ \frac{2}{8}=\frac{x}{12} \] Simplify your answer as much as possible. \[ x= \]
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Solution

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Solution Steps

To solve for \( x \) in the equation \(\frac{2}{8} = \frac{x}{12}\), we can use the property of cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other. After cross-multiplying, solve the resulting equation for \( x \).

Step 1: Set Up the Equation

We start with the given equation: \[ \frac{2}{8} = \frac{x}{12} \]

Step 2: Cross-Multiply

To eliminate the fractions, we use cross-multiplication: \[ 2 \times 12 = 8 \times x \]

Step 3: Simplify the Equation

Calculate the product on the left side: \[ 24 = 8x \]

Step 4: Solve for \( x \)

Divide both sides by 8 to isolate \( x \): \[ x = \frac{24}{8} \]

Step 5: Simplify the Result

Simplify the fraction: \[ x = 3.0 \]

Final Answer

\(\boxed{x = 3}\)

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