Question

is 5(x-2)=5x-7 a...
one solution
no solution
infinitely many sloutions

Answer 1

First distribute the 5

What do you get when you distribute the 5
5(x-2)

Answer 2

5x and -10

Answer 3

Perfect so now we have

5x - 10 = 5x - 7

Subtract 5x on both sides, what do you get?

Answer 4

-10=x-7

Answer 5

mhmm I'm not so sure about that

5x - 10 - 5x = 5x - 7 - 5x

Simplify that
Remember, we can only subtract the like terms so whatever has an x with it

Answer 6

wait i dont get it

Answer 7

think of 5x as five apples

we have
Five apples - 10 = five apples - 7

When we do one thing to one side, we have to do it to the other side so that way it's balanced

So like for example
If we have 3 = 3
That's true right? Three equals to three
If I add 1 on only one side then it becomes
4 = 3
Then it doesn't stay true anymore

That's why I have to add one to both sides
And we get 4= 4
And that still keeps it true!

Answer 8

Do you get that now

Answer 9

so im going to subtract 5 by -10 and by -7?

Answer 10

No no no

Like terms

So we have 5x - 10
The five has an x
The ten has nothing with it

One is an apple the other is an orange
You can't add or subtract them

When the number has a letter next to it, you can't add it or subtract it with anything except another number with the SAME letter

So 5x + 10x = 15x
5x + 2y = 5x + 2y CAN'T ADD
2a + 3a = 5a
3b + 5 = 3b + 5 CAN'T ADD

Answer 11

Does that make sense to you?

Answer 12

yes

Answer 13

oh wait is it -10 = -7

Answer 14

so that would be no solution?

Answer 15

Exactly!! You got it

-10 can never equal to -7

So it's no solutions

Answer 16

okay