Which is a correct first step for solving this equation? -3x+2−5x−7=4x+2

a.) -2x-5=4x+2

b.) 2x+5=4x+2

c.) 8x+5=4x+2

d.) -8x-5=4x+2

Verified Answer :

D would be the correct answer in this case.

Answer:

(D)\(-8x-5=4x+2\)

Step-by-step explanation:

The given equation is:

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

Combining the like terms, we get

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

\(-8x-5=4x+2\)

which is the required correct step for solving the given equation.

therefore, again combining the like terms, we get

\(-8x-4x=2+5\)

\(-12x=7\)

\(x=\frac{-7}{12}\)

thus, option D is correct.