Deepak wrote out the steps to his solution of the equation 5/2-3x-5+4x = -7/4

Step 1: 5/2-5+4x-3x=-7/4

Step 2: -5/2+x+-7/4

Step 3: -5/2+5/2+x = -7/4+10/4

Step 4: x = 3/4Which step has an incorrect instruction?

Verified Answer :

Step two is the correct answer.

Answer:

Step 2

Step-by-step explanation:

The given equation is:

\(\frac{5}{2}-3x-5+4x=\frac{-7}{4}\)

Simplifying the above equation, we get

Step 1. Rewriting the like terms, we get

\(\frac{5}{2}-5+4x-3x=\frac{-7}{4}\)

Step 2. Adding and subtracting the like terms, we have

\(\frac{-5}{2}+x=\frac{-7}{4}\) (which is the incorrect step in the already given proof)

Step 3. Adding \(\frac{5}{2}\) on both the sides, we get

\(\frac{-5}{2}+\frac{5}{2}+x=\frac{-7}{4}+\frac{10}{4}\) (\(\frac{5}{2}\) can be written as \(\frac{10}{4}\))

Step 4. Solving the above equation, we get

\(x=\frac{3}{4}\)

Thus, the step 2 is incorrect in the given proof.