Answer: The correct equations are (A) 2.3x - 10.4 = - 2.9x, (B) 5.2x - 1.6 = 8.8 and (E) 2.3x = 10.4 - 2.9x.
Step-by-step explanation: The given equation that Alicia is solving is
![2.3x-1.6=8.8-2.9x~~~~~~~~~~~~(i)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/sgq2v6w3m9eakxic0cy4t1dy0l2t2pamog.png)
We are to select the correct equations from the given options that represent possible ways to begin solving for 'x'.
We have from equation (i) that
![2.3x-1.6=8.8-2.9x\\\\\Rightarrow 2.3x-1.6-8.8=-2.9x\\\\\Rightarrow 2.3x-10.4=-2.9x.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m192v8w52hmrinnbagxghzt4e53awyo3qj.png)
So, option (A) is correct.
Also, from equation (i),
![2.3x-1.6=8.8-2.9x\\\\\Rightarrow 2.3x+2.9x-1.6=8.8\\\\\Rightarrow 5.2x-1.6=8.8.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/hpzlu1er2u9inpvchtq61xf8hpdi88uo6i.png)
So, option (B) is also correct.
Again, equation implies
![2.3x-1.6=8.8-2.9x\\\\\Rightarrow 2.3x=1.6+8.8-2.9x\\\\\Rightarrow 2.3x=10.4-2.9x.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/h9rd2x6t5watupkclolrsiy860j73rc2m7.png)
So, option (E) is correct.
Thus, (A), (B) and (E) are the correct options.