Answer:
x=12
Explanation:
In a parallelogram opposite sides are equal
Therefore:
![3x + 7 = 5x - 17](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pg018mx4nxlg8ogex7s10catz6eb9f9s4n.png)
and
![5y - 20 = 2y + 25](https://img.qammunity.org/2021/formulas/mathematics/middle-school/afo3vm102edni9zvra14d7k0c2uenzr4le.png)
To find x move all the terms from the right side to the left side or vice versa. I'll use the left this time (Remember that when you transfer, the positive number becomes the negative and the negative number becomes positive)
![5x - 3x - 17 - 7 = 0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/movtyanc881j3i1jnz6ss0bh5mhvszelwg.png)
![2x - 24 = 0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9c1n7xh1vl5outssv2u1wga0b8hrixcfss.png)
Transfer 24 to the other side
![2x = 24](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kujjidu8d84e2da8o7te68nafacitsloo9.png)
Divide both by 24
![(2x = 24)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q046mkadbpzpfl20wi1utrinzm6r9j7z1w.png)
![x = 12](https://img.qammunity.org/2021/formulas/mathematics/high-school/585tdx4jizj0hgwm6l105rlaurx7sdkq3u.png)