The product of a number and - 8 gives eight times the sum of that number and 36. Find that number

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and - 8 is represented as - 8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8 (x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8 (x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by - 16

x = - 18