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
Let's do the first question. Can you distribute 2 in 2(3x-4)
What even is this sorcery
Let'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
2(3x − 4) = 5x + 6 Step 1: (2*3x) - (2*4)
^like that
2(3x − 4) = 5x + 6 Step 1: (2*3x) - (2*4) =6-8
Don't bother with writing steps, just do as I say and I'll show you how to write it all together
So you made a mistake 2*3x = 6x You can't forget that x, it's a variable and needs to stay
2(3x − 4) = 5x + 6 (2*3x) - (2*4) =6x-8 6x-8=5x+6
Good good, we're on the right track now
2(3x − 4) = 5x + 6 (2*3x) - (2*4) =6x-8 6x-8=5x+6 +8 +8 simplify 6x=5x+14 -5 -5 x=14
^^^^^ hows that *pant pant pant*
Uh-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!!
Your profile picture is so confusing because it looks like you're typing
2(3x − 4) = 5x + 6 (2*3x) - (2*4) =6x-8 6x-8=5x+6 +8 +8 simplify 6x=5x+14 -5x -5x x=14
so as long as it looks like this its correct
I guess it's fine, that format would look much better if it's written on paper tbh
im 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
Yeah I know, that way should be fine. Your teacher should understand it
ok part B
Yes, what mistakes did you catch
2x − 3 = 2
Also look at 2(x-1) what should 2(x-1) be
4x − 3 = 2(x − 1) <<<<<< 2x-1? 4x − 3 = 2x + 2 2x − 3 = 2<<<<<<< because 4x-3=2x+2 simplified = 5 2x = 6 x =3
Also we should always try to find the first mistake done because that's were it got derailed first
It should be 2x-2 You have to multiple the 2 across and a minus
4x − 3 = 2x-2 4x − 3 = 2x + 2 2x − 3 = 2<<<<<<< because 4x-3=2x+2 simplified = 5 2x = 6 x =3
so like that
Err 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) =
(2*4x)+(2*7)=8x+14=22 (2*4x) - (2*7)= 8-14=6
@TheSmartOne
Ahh 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
yes
Good, 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) =
ummmmmmm i dont know i havent done this i dont think
It'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
4x − 3 = 2x-2 4x − 3 = 2x - 2 +3 +3 simplify 4x=2x+1 -2x -2x simplify 2x=1
how did i do this time :3
did i do it correctly
@TheSmartOne
4x − 3 = 2x-2 4x − 3 = 2x - 2 +3 +3 simplify 4x=2x+1 -2x -2x simplify 2x=1 x=1/2 or .5
@TheSmartOne
TSOOO NOOO HE WAS TOOOO YOUNG!!!!!!!!!!!!!!!!!!!
@Shadow
i think TSO died
You solved it correctly, now compare it to Charlie's and see what he did wrong
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