Question

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solve.

\\\frac{5}{6} = \frac{10}{2x - 3}\\

Explanation:

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<reasoning>

Apply the cross product property

\[
5(2x - 3) = 6 \cdot 10
\]

Simplify and expand the equation

\[
10x - 15 = 60
\]

Solve for x

\[

$$\begin{aligned} 10x &= 75 \\ x &= 7.5 \end{aligned}$$

\]
</reasoning>

<answer>
\(x = 7.5\)
</answer>

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Answer:

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</pre_analysis>

<reasoning>

Apply the cross product property

\[
5(2x - 3) = 6 \cdot 10
\]

Simplify and expand the equation

\[
10x - 15 = 60
\]

Solve for x

\[

$$\begin{aligned} 10x &= 75 \\ x &= 7.5 \end{aligned}$$

\]
</reasoning>

<answer>
\(x = 7.5\)
</answer>

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