Asked by Slim Shady
How many solutions can be found for the linear equation?
3(x + 4) = 3x + 4
3(x + 4) = 3x + 4
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \( 3(x + 4) = 3x + 4 \), we can start by simplifying both sides.
First, expand the left side:
\[
3(x + 4) = 3x + 12
\]
Now, rewrite the equation with the expanded left side:
\[
3x + 12 = 3x + 4
\]
Next, we can subtract \( 3x \) from both sides:
\[
12 = 4
\]
This statement, \( 12 = 4 \), is false. Since we arrived at a contradiction, it indicates that there are no values of \( x \) that can satisfy the original equation.
Thus, the number of solutions to the equation \( 3(x + 4) = 3x + 4 \) is
\[
\boxed{0}.
\]
First, expand the left side:
\[
3(x + 4) = 3x + 12
\]
Now, rewrite the equation with the expanded left side:
\[
3x + 12 = 3x + 4
\]
Next, we can subtract \( 3x \) from both sides:
\[
12 = 4
\]
This statement, \( 12 = 4 \), is false. Since we arrived at a contradiction, it indicates that there are no values of \( x \) that can satisfy the original equation.
Thus, the number of solutions to the equation \( 3(x + 4) = 3x + 4 \) is
\[
\boxed{0}.
\]
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