Question

Jada is solving the equation shown below.

Negative one-half (x + 4) = 6

Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).

Answer 1

Multiple both sides by -2 or Distribute negative one-half over (x+4)

Explanation:

-1/2(x+4) = 6

If I multiple both sides by -2, I am clearing the fraction:

(-2)(-1/2)(x+4) = 6(-2)

x+4 = -12

x = -16

OR

-1/2(x + 4) = 6

-1/2x -2 = 6 Remember, a negative times a positive is a negative.

-x - 4 = 12 multiply both sides by 2

-x = 16

x = -16

Answer 2

Distribute -1/2 over (x+4)

Explanation:

-0.5(x+4) = 6

-0.5x - 2 = 6

-0.5x = 8

x = -16