14 times a number decreased By eight is 22 Increase by 20 times The same number

14x - 8 = 22 + 20x

x = - 5

Step-by-step explanation:

Let "the number" be represented by x

Take each part of the statement and translate into algebraic form

"14 times a number" 14x

"decreased By eight" - 8

"is" =

"22 Increased by" 22 +

"20 times The same number" 20x

Put the equation together. Solve for x by isolating.

(

14x - 8 = 22 + 20x

14x - 8 - 20x = 22 + 20x - 20x Subtract 20x from both sides

-6x - 8 = 22

-6x - 8 + 8 = 22 + 8 Add 8 to both sides

-6x = 30

-6x : - 6 = 30 : - 6 Divide both sides by - 6

x = - 5