Question

Solve. One point for showing the steps to solve each equation and one point for the correct solution.
2(n - 3) + 5 = 3(n - 1)

Answer 1

so first get rid of the parenthesis by bringing the 2 and 3 in

Answer 2

once you do what do you get?

Answer 3

I am confused .

Answer 4

\[2(n-3)+5=3(n-1)\]

2n-6+5=3n-3

2n-1=3n-3
n=2

Answer 5

ok so do you know how to distribute the number outside the ( ) into the inside?

Answer 6

not really

Answer 7

ok lets supposed we have 5(x+2)

there is a property in math that says you are allowed to take the 5 and multiply it first by the x and then by the 2

sooo...

5(x+2) = 5x+10

Answer 8

do you see how i went from 5(x+2) and made it 5x+10?

Answer 9

Yes, because didn't you multiply 2 and 5?

Answer 10

yea i took the 5 and multiplied it by each side of the + sign

Answer 11

ok lets try one... what can we say 3(x+2) is equal to?

Answer 12

3(x+2)=3x+6

Answer 13

ding ding ding!!! =P

Answer 14

ok so lets go back to your first equation and use that rule to solve it

Answer 15

2(n - 3) + 5

Answer 16

whats that

Answer 17

2(n-3)+5=6n+5 ? This one is confusing me

Answer 18

close!

Answer 19

2(n-3)+5 = 2n-6 +5

Answer 20

if you notice you have to be careful where that ( ) ends since it ends before the +5 the 2 isn't allowed to mess with the +5

Answer 21

it can only be multiplied to the n-3

Answer 22

do you see how I got that?

Answer 23

Yesssss.

Answer 24

=)

Answer 25

ok what about the other side

3(n - 1)

whats that equal to?

Answer 26

3n-1

Answer 27

close but if you notice the 3 touches the parentheses and theres two things inside there

Answer 28

since the 3 touches the parenthesis it has to effect both things inside

Answer 29

\[n=2\]
\[2n-1=3n-3=3\]