Questions: 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. \[ x= \]

Solution

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: \[ x = 3.0 \]