Question

3(x – 4) = 5(x + 2)

Answer 1

Okay, so for this one we need to distribute first. Do you know how to do that?

Answer 2

Are these the ones where I have to multiply 3x x 5x first?

Answer 3

Hmm. For this one before you can get your like terms on the same side we have to distribute.

So,
3(x-4)=5(x+2)
3 times x and then 3 times -4 which will be:
3x-12

Same for the other side,
5 times x and 5 times 2 which is:
5x+10

So now we have:

3x-12=5x+10

Now we can get our like terms on one side. Try it? :o)

Answer 4

so 3x -5x-12 = 5x-5x+10

Answer 5

Close!

It'll be less messy if we take the 3 to the 5, so:

3x-12=5x+10
-3x -3x

-12=2x+10

Do you understand how I did that?

Answer 6

I think? I ended up with -2x +10x-12

Answer 7

You moved the smaller # right?

Answer 8

Correct. Otherwise you'd get

3x-12=5x+10
-5x -5x

-2x-12=10

Answer 9

Do you know how to find x now?

Answer 10

I'm confused give me a minute

Answer 11

Okay, take your time. :o)

Answer 12

I have to add in the next step or do I go straight to division

Answer 13

Is the answer 1

Answer 14

Wait it is 11

Answer 15

Remember, when solving for x we are trying to get x alone on the side of the equation. So,

-12=2x+10
-10 -10

-2=2x
/2 /2

-1=x

Answer 16

Opps, it would be -11

Answer 17

-2x-12=10
+12 +12

-2x=22
x=-11