Answer: x = 2
Explanation:
P-----------------------T----------------------Q
(3x-3) (5x-7)
Since T is the midpoint we know that PT and TQ are equal
Just solve the equation: 3x-3 = 5x-7
![3x-3 = 5x-7](https://img.qammunity.org/2022/formulas/mathematics/college/w8hjh5s44ssghsbf6h4huivqqgku11rs00.png)
now move the x to one side
(I subtracted the 3x)
then get the 2x by itself
![4=2x](https://img.qammunity.org/2022/formulas/mathematics/college/8ch7emxb9hnn2y0343hq5evhkkk1qscr9x.png)
lastly, divide by 2 to get x by itself
![x=2\\](https://img.qammunity.org/2022/formulas/mathematics/college/hy44xuqc2akt3ow3p6jvov2m28ktvd8jab.png)