Two is subtracted from a number, and then the difference is multiplied by 5. The result is 30. Find the number

The number you would get is 8

how you get this answer is as followes

x is going to be your unknown number

you have to subtract 2 right? so you do:

x-2

then it says the difference is multiplied by 5 so then you multiply it by 5

5 (x-2)

then you just solve for x

your end result is 30 so you put that on the other side of the equation to solve for x

5 (x-2) = 30

now to solve for x you have to distribute the 5 which gets rid of the parenthesis

5x-10=30

now move the 10 over by adding

step one 5x=30+10 step two 5x = 40

now you divide by 5 to get rid of the 5

step 1) 5x/5=40/5 step 2) x=8

the answer therefore is 8

(x-2) 5=30 (that's the equation) (i made the number x)

x-2=6

x=8