Questions: x/(x+10) = 1/3 x = □

Transcript text: \[ \begin{array}{l} \frac{x}{x+10}=\frac{1}{3} \\ x=\square \end{array} \]

Solution

To solve the equation \(\frac{x}{x+10} = \frac{1}{3}\), we can cross-multiply to eliminate the fractions and then solve for \(x\).

Step 1: Set Up the Equation

We start with the given equation: \[ \frac{x}{x+10} = \frac{1}{3} \]

Step 2: Cross-Multiply

To eliminate the fractions, we cross-multiply: \[ 3x = x + 10 \]

Step 3: Solve for \( x \)

Rearrange the equation to isolate \( x \): \[ 3x - x = 10 \] \[ 2x = 10 \] \[ x = \frac{10}{2} \] \[ x = 5 \]

\(\boxed{x = 5}\)

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