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Let’s check out your problem:

Solve for x : {:[(10)/(3)=(x)/((-(5)/(2)))],[x=]:}

Solve for x x :\newline103=x(−52)x=□ \begin{array}{l} \frac{10}{3}=\frac{x}{\left(-\frac{5}{2}\right)} \\ x=\square \end{array}

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Multiply using the distributive propertyright chevron icon

Full solution

Q. Solve for x x :\newline103=x(−52)x=□ \begin{array}{l} \frac{10}{3}=\frac{x}{\left(-\frac{5}{2}\right)} \\ x=\square \end{array}
  1. Cross multiply for x: Cross multiply to solve for x.\newline(103)×(−52)=x(\frac{10}{3}) \times (\frac{-5}{2}) = x
  2. Multiply numerators and denominators: Multiply the numerators and denominators. 10×−5=−5010 \times -5 = -50, and 3×2=63 \times 2 = 6, so (−506)=x\left(-\frac{50}{6}\right) = x
  3. Simplify the fraction: Simplify the fraction. \newline−506-\frac{50}{6} can be simplified to −253-\frac{25}{3}, so x=−253x = -\frac{25}{3}

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