Which value for x makes the sentence true?

13x = 8x + 10

Question

Which value for x makes the sentence true?

13x = 8x + 10

patrickweewoos · Answer

@phi

igreen · Answer

13x = 8x + 10

Subtract 8x to both sides:

5x = 10

Divide 10 / 5, can you do that? @PatrickWeeWoos

patrickweewoos · Answer

2

igreen · Answer

Yep, so x = 2.

patrickweewoos · Answer

Which value for x makes the sentence true?

13x - 4 = 6x + 24

phi · Answer

what do you get if you subtract 6x from both sides?
in other words, take away 6 x's from each side
what is left ?

patrickweewoos · Answer

24+13

patrickweewoos · Answer

its 23

phi · Answer

Let's see

start with
13x - 4 = 6x + 24

write -6x on both sides to show we are taking 6 x's away 

13x - 6x - 4 = 6x - 6x + 24

on the right side, do you know what we get ?

patrickweewoos · Answer

23

phi · Answer

what is 6x take away 6x ?

patrickweewoos · Answer

attachment

phi · Answer

so we can replace 6x - 6x with 0 in
3x - 6x - 4 = 6x - 6x + 24
to get
3x - 6x - 4 = 0 + 24

what is 0 + 24 ?

phi · Answer

I assume you know 0+24 simplifies to 24
so you now have
13x - 6x - 4 = 24

on the left side you have 13 x's  and take away 6 x's  how many x's are left ?

patrickweewoos · Answer

i got it wrong

phi · Answer

Does that mean you do not want to finish this problem ?

phi · Answer

If you have a bunch of these problems, you use the same idea to get the answer for each one.  Once you get the idea, you can answer the questions.

phi · Answer

so you now have 
13x - 6x - 4 = 24 
on the left side you have 13 x's and take away 6 x's how many x's are left ?