Question

c. \\(\frac{1}{2}x = 50 - \frac{3}{4}x\\)

Explanation:

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<reasoning>

Write down the equation

\[
\frac{1}{2}x = 50 - \frac{3}{4}x
\]

Add 3/4x to both sides

\[
\frac{1}{2}x + \frac{3}{4}x = 50
\]
\[
\frac{2}{4}x + \frac{3}{4}x = 50
\]
\[
\frac{5}{4}x = 50
\]

Multiply both sides by 4/5

\[
x = 50 \cdot \frac{4}{5}
\]
\[
x = 10 \cdot 4
\]
\[
x = 40
\]
</reasoning>

<answer>
\(x = 40\)
</answer>

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Answer:

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</pre_analysis>

<reasoning>

Write down the equation

\[
\frac{1}{2}x = 50 - \frac{3}{4}x
\]

Add 3/4x to both sides

\[
\frac{1}{2}x + \frac{3}{4}x = 50
\]
\[
\frac{2}{4}x + \frac{3}{4}x = 50
\]
\[
\frac{5}{4}x = 50
\]

Multiply both sides by 4/5

\[
x = 50 \cdot \frac{4}{5}
\]
\[
x = 10 \cdot 4
\]
\[
x = 40
\]
</reasoning>

<answer>
\(x = 40\)
</answer>

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"Mathematics",
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"Multi-Step Equations"
]
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