To solve the equation \(5x + 12 = (fill in the blank)x + 9\), we want to find the value for the blank that will make the equation true.
First, let's isolate the term with \(x\) on one side. We have:
\[ 5x + 12 - 9 = (fill in the blank)x \]
This simplifies to:
\[ 5x + 3 = (fill in the blank)x \]
Now we can express both sides in terms of \(x\):
\[ 5x + 3 = bx \quad \text{(where \( b \) is the value in the blank)} \]
To find \(b\), we can equate the coefficients of \(x\) on both sides. Therefore, we identify that:
\[ b = 5 \]
So, the equation will become:
\[ 5x + 12 = 5x + 9 \]
Hence, the blank can be filled with 5.
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