Answer: The correct option is (B)
![16x+9=4x.](https://img.qammunity.org/2019/formulas/mathematics/high-school/h03ybqhc40xourgc377jrtkwr0b5x4b459.png)
Step-by-step explanation: We are given to select the correct equation that could be used to solve the following equation :
![9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2019/formulas/mathematics/high-school/dn6vzyyqi6ijujo61qopkiutq90ubsv0b3.png)
To find the correct equation, we need to simplify the given equation (i).
From equation (i), we get
![9x+26+7x-17=2x+(-3x)+5x\\\\\Rightarrow (9+7)x+(26-17)=2x-3x+5x\\\\\Rightarrow 16x+9=(2-3+5)x\\\\\Rightarrow 16x+9=4x.](https://img.qammunity.org/2019/formulas/mathematics/high-school/fyhuq61payusu5owhthjvcvz1p1fq64npo.png)
Thus, the required equation is
![16x+9=4x.](https://img.qammunity.org/2019/formulas/mathematics/high-school/h03ybqhc40xourgc377jrtkwr0b5x4b459.png)
Option (B) is CORRECT.