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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

17.08

correct me if i am wrong.