Translate(in terms of x) then solve the algebraic equation: Ten is subtracted from twice some number and the result is the sum of the number and 2

Answer 1

Ten is subtracted from twice some number and the result is the sum of the number and 2

Twice some number=2n

Ten is subtracted from twice some number: 2n-10

Result means the equal sign

Sum of the number and 2=2+n

Put it all together (except for the first 2n, that was used to find the second part).

2n-10=2+n

You first need to get your like terms on the same side. I personally don't like to deal with a negative variable because it can lead to an extra step on the end. Therefore I will take the n on the right side and move it to the 2n on the left side.

2n-10=2+n

-n -n

n-10=2

Now you need to move the -10 to the other side of the equal sign.

n-10=2

+10 +10

n=12

To make sure that is correct plug the 12 into the original equation.

2(12)-10=2+(12)

24-10=2+12

14=14

It is correct.