To find the value of \( x \) in the expressions \( A = 2x + 51 \) and \( B = 7x - 15 \), we typically set \( A \) equal to \( B \) if they represent equivalent values. Therefore, we can set up the equation:
\[ 2x + 51 = 7x - 15 \]
Next, we will solve for \( x \).
- Start by subtracting \( 2x \) from both sides:
\[ 51 = 7x - 2x - 15 \]
This simplifies to:
\[ 51 = 5x - 15 \]
- Next, add 15 to both sides:
\[ 51 + 15 = 5x \]
\[ 66 = 5x \]
- Now, divide both sides by 5 to isolate \( x \):
\[ x = \frac{66}{5} \]
\[ x = 13.2 \]
Thus, the value of \( x \) is \( 13.2 \).
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