eight decreased by a number is equal to four times the sum of the number and three. find the number

Question

can you please give the legend? and the answer in a full sentence because my teacher wants it that way

 

Answer 1

This is your typical algebra question where you are looking for an unknown value given some information. The information can be set up as:

8 - x = 4*(x +3)

 

Distribute the 4:

8 - x = 4x + 12

 

Rearrange to get variables on one side:

8 - 12 = 4x + x

 

Simplifiy:

-4 = 5x

 

Isolate the variable:

-4/5 = x