Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not. 4x − 3 = 2(x − 1) 4x − 3 = 2x + 2 2x − 3 = 2 2x = 6 x =3

11 months agoLet's do the first question. Can you distribute 2 in 2(3x-4)

11 months agoWhat even is this sorcery

11 months agoLet's take it step by step So we need to distribute. I'll show you an example so you can understand 5(3x-6) = (5*3x) - (5*6) = 15x - 30 Now can you do the same for 2(3x-4) @animeghoul8863

11 months ago2(3x − 4) = 5x + 6 Step 1: (2*3x) - (2*4)

11 months ago^like that

11 months ago2(3x − 4) = 5x + 6 Step 1: (2*3x) - (2*4) =6-8

11 months agoDon't bother with writing steps, just do as I say and I'll show you how to write it all together

11 months agoSo you made a mistake 2*3x = 6x You can't forget that x, it's a variable and needs to stay

11 months ago2(3x − 4) = 5x + 6 (2*3x) - (2*4) =6x-8 6x-8=5x+6

11 months agoGood good, we're on the right track now

11 months ago2(3x − 4) = 5x + 6 (2*3x) - (2*4) =6x-8 6x-8=5x+6 +8 +8 simplify 6x=5x+14 -5 -5 x=14

11 months ago^^^^^ hows that *pant pant pant*

11 months agoUh-oh, slight mistake You were subtracting 5x not 5 But then next step is correct that x=14 Think of it like this that the 'x' is an apple I have 5x or 5 apples If you give me some apples so that I now have twice as.many apples I have 2*5x or 10apples And then you decide to give me their number 2. It's just a number That means I have 10x + 2 Not 12x, not 12 I don't have 12 apples or my apples don't disappear into a random number Does that make sense But you're getting a good grasp on things so far, so good job!!

11 months agoYour profile picture is so confusing because it looks like you're typing

11 months ago2(3x − 4) = 5x + 6 (2*3x) - (2*4) =6x-8 6x-8=5x+6 +8 +8 simplify 6x=5x+14 -5x -5x x=14

11 months agoso as long as it looks like this its correct

11 months agoI guess it's fine, that format would look much better if it's written on paper tbh

11 months agoim sorry but im homeschooled and have to hand it in online i cant put it on paper but would it be correct if i kept it this way

11 months agoYeah I know, that way should be fine. Your teacher should understand it

11 months agook part B

11 months agoYes, what mistakes did you catch

11 months ago2x − 3 = 2

11 months agoAlso look at 2(x-1) what should 2(x-1) be

11 months ago4x − 3 = 2(x − 1) <<<<<< 2x-1? 4x − 3 = 2x + 2 2x − 3 = 2<<<<<<< because 4x-3=2x+2 simplified = 5 2x = 6 x =3

11 months agoAlso we should always try to find the first mistake done because that's were it got derailed first

11 months agoIt should be 2x-2 You have to multiple the 2 across and a minus

11 months ago4x − 3 = 2x-2 4x − 3 = 2x + 2 2x − 3 = 2<<<<<<< because 4x-3=2x+2 simplified = 5 2x = 6 x =3

11 months agoso like that

11 months agoErr We need to work on distributing Solve these random questions. You really need to understand this because this is a basic concept 2 different questions 2(4x + 7) = 2(4x - 7) =

11 months ago(2*4x)+(2*7)=8x+14=22 (2*4x) - (2*7)= 8-14=6

11 months ago@TheSmartOne

11 months agoAhh That's where you're messing up You can't add apples and oranges 8x+ 14 stays as 8x + 14 8x has an x, 14 does not You cannot add them Does that make sense

11 months agoyes

11 months agoGood, now distributing isn't that easy so let me give you another question so you can handle the other type -5(x-4) = -5(x+4) =

11 months agoummmmmmm i dont know i havent done this i dont think

11 months agoIt's ok, it's practically the same except now we have a negative Which means we have to distribute them negative sign as well which means sign flips inside

11 months ago4x − 3 = 2x-2 4x − 3 = 2x - 2 +3 +3 simplify 4x=2x+1 -2x -2x simplify 2x=1

11 months agohow did i do this time :3

11 months agodid i do it correctly

11 months ago@TheSmartOne

11 months ago4x − 3 = 2x-2 4x − 3 = 2x - 2 +3 +3 simplify 4x=2x+1 -2x -2x simplify 2x=1 x=1/2 or .5

11 months ago@TheSmartOne

11 months agoTSOOO NOOO HE WAS TOOOO YOUNG!!!!!!!!!!!!!!!!!!!

11 months ago@Shadow

11 months agoi think TSO died

11 months agoYou solved it correctly, now compare it to Charlie's and see what he did wrong

11 months ago