Answer:
Step 2
Step-by-step explanation:
The given equation is:
[tex]\frac{5}{2}-3x-5+4x=\frac{-7}{4}[/tex]
Simplifying the above equation, we get
Step 1. Rewriting the like terms, we get
[tex]\frac{5}{2}-5+4x-3x=\frac{-7}{4}[/tex]
Step 2. Adding and subtracting the like terms, we have
[tex]\frac{-5}{2}+x=\frac{-7}{4}[/tex] (which is the incorrect step in the already given proof)
Step 3. Adding [tex]\frac{5}{2}[/tex] on both the sides, we get
[tex]\frac{-5}{2}+\frac{5}{2}+x=\frac{-7}{4}+\frac{10}{4}[/tex] ([tex]\frac{5}{2}[/tex] can be written as [tex]\frac{10}{4}[/tex])
Step 4. Solving the above equation, we get
[tex]x=\frac{3}{4}[/tex]
Thus, the step 2 is incorrect in the given proof.
