Question

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

Answer 1

D would be the correct answer in this case.

Answer 2

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

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=(-7)/(12)`

thus, option D is correct.