Question

I just need help solving it . I keep getting a decimal . (I will post the ss after I post this)

Answer 1

So it sounds like you got the proofs part down but you just want to know how to solve it?

This is what we're given
5x + 14 - 3x = 10x - 28 - 12x

To solve it, we need to get `x` on one side, and everything else on the other side

Answer 2

So first let's start by simplifying

Remember that we can only add like terms
So numbers can be added or subtracted with other numbers
If anything has an `x` attached to it, we can only add or subtract other things that also have that `x`

Answer 3

so 5x-3x and 10x-12x ?

Answer 4

Yes!

What is 5x - 3x

Basically just forget the x is there for a second, and do the normal subtraction. Imagine that x is an apple
You have 5 apples and you give away 3 apples. How many apples do you have left?

Answer 5

so 2x + 14 = -2x - 28 ?

Answer 6

Excellent, yes!

Now we want to move anything with `x` in it to one side, and the numbers to another side

So
2x + 14 = -2x - 28

what do you get if you add 2x on both sides? (adding 2x on both sides should get rid of it on the right side because it's a -2x)

Answer 7

It would be 4x + 14 = -28 I think .

Answer 8

Yes!! Very good!

Now we have 4x + 14 on the left side

We're adding 14. To move it to the other side, we have to do the opposite of adding

so what would we do?

Answer 9

subtract it to -28 .

Answer 10

yes we have to subtract it on both sides

so what is -28 - 14 =

Answer 11

-42 .

Answer 12

good! so now we have

4x = -42

one last thing before we can get the `x` by itself

we have 4 times x
to get rid of the 4, we have to do the opposite of multiplication

Answer 13

-42/4

Answer 14

Good! And do the division now

Answer 15

but then we get -10.5