Question

The sum of a number and seven is multiplied by four. The result is equal to negative twelve. The value of the number is __

Answer 1

The correct value is -10.
7 plus negative 10 equals negative 3.
Negative 3 times 4 equals -12.
Or, (7+-10=-3•4=-12)

Answer 2

⟹Answer:

$x = -10$

⟹Step-by-step explanation:

Lets Solve!

⟹The first thing we must do is define our variables. Lets look at the problem again:

"The sum of a number and 7 is multiplied by 4. The result is equal to -12."

We can make x the number that is being added to 7.

The sum of x and 7 is multiplied by 4. This expression equals -12.

$4(x+7) = -12$

⟹Now we use distribute 4 amongst (x+7)

$4(x+7) = -12$

$4x+28 = -12$

Next we subtract 28 from both sides.

$4x+28 = -12$

$4x = -40$

Last we divide 4 on both sides.

$\frac{4x}{4} = \frac{-40}{4}$

➧ $x = -10$

Woohoo! Brainliest Appreciated! Hope I helped!