Answer: The correct option is (B) [tex]16x+9=4x.[/tex]
Step-by-step explanation: We are given to select the correct equation that could be used to solve the following equation :
[tex]9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the correct equation, we need to simplify the given equation (i).
From equation (i), we get
[tex]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.[/tex]
Thus, the required equation is [tex]16x+9=4x.[/tex]
Option (B) is CORRECT.
