If 14 added to a certain number and the sum is multiplied by 2 the result is equal to 8 times the number decreased by 14.Find the number. If 14 added to a certain number and the sum is multiplied by 2 the result is equal to 8 times the number decreased by 14.Find the number. @Mathematics

Question

anonymous · Answer

Let x be your number.
"If 14 is added to a certain number and the sum is multiplied by 2":
   In algebra, this means 2(14 + x)

anonymous · Answer

How would you write, in algegbra:
" 8 times the number decreased by 14" ?

texaschic101 · Answer

2(14 + x) = 8x - 14 (distribute through the parenthesis)
28 + 2x = 8x - 14
2x - 8x = -14 - 28
-6x = - 42
x = -42/-6
x = 7