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
6 months agoLet's do the first question. Can you distribute 2 in 2(3x-4)
6 months agoWhat even is this sorcery
6 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
6 months ago2(3x − 4) = 5x + 6 Step 1: (2*3x) - (2*4)
6 months ago^like that
6 months ago2(3x − 4) = 5x + 6 Step 1: (2*3x) - (2*4) =6-8
6 months agoDon't bother with writing steps, just do as I say and I'll show you how to write it all together
6 months agoSo you made a mistake 2*3x = 6x You can't forget that x, it's a variable and needs to stay
6 months ago2(3x − 4) = 5x + 6 (2*3x) - (2*4) =6x-8 6x-8=5x+6
6 months agoGood good, we're on the right track now
6 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
6 months ago^^^^^ hows that *pant pant pant*
6 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!!
6 months agoYour profile picture is so confusing because it looks like you're typing
6 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
6 months agoso as long as it looks like this its correct
6 months agoI guess it's fine, that format would look much better if it's written on paper tbh
6 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
6 months agoYeah I know, that way should be fine. Your teacher should understand it
6 months agook part B
6 months agoYes, what mistakes did you catch
6 months ago2x − 3 = 2
6 months agoAlso look at 2(x-1) what should 2(x-1) be
6 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
6 months agoAlso we should always try to find the first mistake done because that's were it got derailed first
6 months agoIt should be 2x-2 You have to multiple the 2 across and a minus
6 months ago4x − 3 = 2x-2 4x − 3 = 2x + 2 2x − 3 = 2<<<<<<< because 4x-3=2x+2 simplified = 5 2x = 6 x =3
6 months agoso like that
6 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) =
6 months ago(2*4x)+(2*7)=8x+14=22 (2*4x) - (2*7)= 8-14=6
6 months ago@TheSmartOne
6 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
6 months agoyes
6 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) =
6 months agoummmmmmm i dont know i havent done this i dont think
6 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
6 months ago4x − 3 = 2x-2 4x − 3 = 2x - 2 +3 +3 simplify 4x=2x+1 -2x -2x simplify 2x=1
6 months agohow did i do this time :3
6 months agodid i do it correctly
6 months ago@TheSmartOne
6 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
6 months ago@TheSmartOne
6 months agoTSOOO NOOO HE WAS TOOOO YOUNG!!!!!!!!!!!!!!!!!!!
6 months ago@Shadow
6 months agoi think TSO died
6 months agoYou solved it correctly, now compare it to Charlie's and see what he did wrong
6 months ago







