To solve the problem, it looks like you might want to find out if the segments PT and TQ are equal or to find the value of \( x \) when given equations for PT and TQ. If you want to find a specific value or relationship between PT and TQ, please provide more details.
However, if we assume that PT is equal to TQ, we can set the two expressions equal to each other and solve for \( x \):
\[ 3x + 2 = 5x - 6 \]
Now, let's solve for \( x \):
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Subtract \( 3x \) from both sides: \[ 2 = 2x - 6 \]
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Add 6 to both sides: \[ 8 = 2x \]
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Divide by 2: \[ x = 4 \]
So, the solution for \( x \) is \( 4 \).
If you need further help or a different scenario, please let me know!