Question

solve: \\(2x + 5 = -27\\)
\\(x = \\)

Explanation:

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<reasoning>

Isolate the variable term

Subtract 5 from both sides of the equation:
\[

$$\begin{aligned} 2x + 5 - 5 &= -27 - 5 \\ 2x &= -32 \end{aligned}$$

\]

Solve for x

Divide both sides by 2:
\[

$$\begin{aligned} \frac{2x}{2} &= \frac{-32}{2} \\ x &= -16 \end{aligned}$$

\]
</reasoning>

<answer>
Solve: \(2x + 5 = -27\)
\(x =\) <blank>-16</blank>
</answer>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Linear Equations"
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Answer:

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<reasoning>

Isolate the variable term

Subtract 5 from both sides of the equation:
\[

$$\begin{aligned} 2x + 5 - 5 &= -27 - 5 \\ 2x &= -32 \end{aligned}$$

\]

Solve for x

Divide both sides by 2:
\[

$$\begin{aligned} \frac{2x}{2} &= \frac{-32}{2} \\ x &= -16 \end{aligned}$$

\]
</reasoning>

<answer>
Solve: \(2x + 5 = -27\)
\(x =\) <blank>-16</blank>
</answer>

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"Mathematics",
"Algebra",
"Linear Equations"
]
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