2(n - 3) + 5 = 3(n - 1)
@quertty123

Question

2(n - 3) + 5 = 3(n - 1)
@quertty123

kailey7277 · Answer

First, you would use the distributive property. To do that, multiply the 2 in front of the first set of parentheses by everything inside.
$$2*n=2n$$
$$2*-3=-6$$
Then, you would combine those terms:
$$2n-6$$
Do the same thing with the parentheses on the other side of the equation:
$$3*n=3n$$
$$3*-1=-3$$
Then, combine them:
$$3n-3$$
Don't forget about the -5 on the left side of the equation when you rewrite the whole thing after distributing.
$$2n-6+5=3n-3$$
You would combine the like terms, -6 and 5, on the left side.
$$2n-1=3n-3$$
Then, add 1 to both sides to get rid of the 1 on the left side.
$$2n-1=3n-3$$
$$+1..............+1$$
$$2n=3n-2$$
Then, subtract 3n from both sides.
$$2n=3n-2$$
$$-3n....-3n$$
$$-n=-2$$
Finally, divide both sides by negative one to make your variable positive.
$$-n=-2$$
$$\div-1..\div-1$$
$$n=2$$