Problem

Solve the equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equatic
\[
6 x+4=3 x+4
\]
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The equation has a single solution. The solution set is
B. The solution set is $\{x \mid x$ is a real number $\}$.
C. The solution set is $\varnothing$.
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Answer

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Answer

Final Answer: \(\boxed{A. \{0\}}\)

Steps

Step 1 :The given equation is \(6x + 4 = 3x + 4\).

Step 2 :Subtract \(3x\) from both sides of the equation to get \(3x + 4 = 4\).

Step 3 :Subtract \(4\) from both sides to get \(3x = 0\).

Step 4 :Divide both sides by \(3\) to get \(x = 0\).

Step 5 :The solution to the equation is \(x = 0\). This means that the equation is a conditional equation, because it is only true for \(x = 0\).

Step 6 :Final Answer: \(\boxed{A. \{0\}}\)

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