Question

I need help with these

Answer 1

twelve decreased by twice a number > 12 - 2x

8 times the sum of number and 4 > 8 (x + 4)

12 - 2x = 8 (x + 4) then 12 - 2x = 8x + 32 (distributive property)

12 = 10x + 32 (add 2x to both sides)

-20 = 10x (subtract 32 from both sides)

x = -2 (divide both sides by 10)

Answer 2

Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)