The solution to the equation 2(n - 3) + 3 = 3(4 - n) + 10?

Question

The solution to the equation 2(n - 3) + 3 = 3(4 - n) + 10

a. n = 4

b. n = 5

c. n = 3

d. n = 7

e. none of the above

Answer 1

b

Explanation:
2(n - 3) + 3 = 3(4 - n) + 10
2n - 6 + 3 = 12 - 3n + 10
2n - 3 = 22 - 3n
2n + 3n = 22 + 3
5n = 25
n = 25/5 = 5

Answer 2

B) N=5

Answer 3

Solve the "n" variable... 2(n - 3) + 3 = 3(4 - n) + 10

First: eliminate parenthesis - use the Distribution Method.

2(n)+2(- 3)+3 = 3(4)+3(- n)+10
2n+(-6)+3 = 12+(-3n)+10
2n-6+3 = 12-3n+10
2n - 3 = 22 - 3n

Sec: combine "like" terms - add 3 with both sides (when you move a term to the opposite side, always use the opposite sign).

2n - 3+3 = 22 - 3n+3
2n = 22+3-3n
2n = 25-3n

*Add "3n" with both sides.

2n+3n = 25-3n+3n
2n+3n = 25
5n = 25

Third: isolate "n" on one side (left) - divide both sides by 5.

5n/5 = 25/5
n = 25/5
n = 5

Answer 4

if you open out the equation you get

2n -6 +3 = 12 -3n +10 which simplifies to

2n -3 = 22 -3n if you put the "n" to one side you get

5n = 25 divide both sides by 5


n = 5

Answer 5

2n-6+3=12-3n+10
2n-3=-3n+22
-2n -2n
-3=-5n+22
-22 -22
-25=-5n
n= 5

Answer 6

2(n-3)+3=3(4-n)+10
2n-6+3=12-3n+10
2n-3=22-3n
2n+3n-3=22-3n+3n
5n-3=22
5n-3+3=22+3
5n=25
n=5 b.

Answer 7

2n-6+3=12-3n +10
5n=25
n=5, answer b