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)
so first get rid of the parenthesis by bringing the 2 and 3 in
once you do what do you get?
I am confused .
\[2(n-3)+5=3(n-1)\] 2n-6+5=3n-3 2n-1=3n-3 n=2
ok so do you know how to distribute the number outside the ( ) into the inside?
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
do you see how i went from 5(x+2) and made it 5x+10?
Yes, because didn't you multiply 2 and 5?
yea i took the 5 and multiplied it by each side of the + sign
ok lets try one... what can we say 3(x+2) is equal to?
ding ding ding!!! =P
ok so lets go back to your first equation and use that rule to solve it
2(n - 3) + 5
2(n-3)+5=6n+5 ? This one is confusing me
2(n-3)+5 = 2n-6 +5
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
it can only be multiplied to the n-3
do you see how I got that?
ok what about the other side 3(n - 1) whats that equal to?
close but if you notice the 3 touches the parentheses and theres two things inside there
since the 3 touches the parenthesis it has to effect both things inside
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