Question

Solve and check. Label any contradictions or identities. Please show all work.
5(x-7)=3(x-2)+2x

Answer 1

Do you know how to start the problem?
I'm assuming this is 5*(x-7) = 3*(x-2) + 2x, correct me if I'm wrong...

Answer 2

no i dont and you are right

Answer 3

Okay. Well, do you know distributive property? A(B+C) = AB + AC ? I can see this is applicable on this problem

Answer 4

kinda

Answer 5

In this problem, we have 5(x - 7) and 3(x - 2). We can use distributive property here because we have a single quantity multiplied to two numbers inside parentheses. . If it helps to think about it this way, we can 'define' multiplication as 'adding a number some number of times.' Like..
2(2+3) = (2+3) + (2+3) We have "2*...", so we add the thing we multiply twice
= 2 + 3 + 2 + 3
= 10
2(2+3) = 2(5) If we simplify in the parentheses, we can see this is the same as the above
= 10

So, back to that definition of distributing: 2(2+3) = 2*2 + 2*3 = 4 + 6 = 10
that's true!
We can do the same thing if there's a variable in the thing we're multiplying

Answer 6

how would I show that work in word

Answer 7

5(x-7) = (x-7) + (x-7) + (x-7) + (x-7) + (x-7)
= 5x (adding 5 x's) - 35 (subtracting 5 7's)

Distributive Property instead:
5(x - 7) = 5*x - 7*5
= 5x - 35


So, in this problem, we'd start by using distributive property...
5(x-7) = 3(x-2) + 2x
5x - 35 = 3x - 6 + 2x Distributive Property

Answer 8

like, explaining the process itself? or are you doing this on microsoft word..?

Answer 9

Microsoft word

Answer 10

not sure... i guess if you do two column, you can just type out the equation on the left and then add the reasoning on the right..