Question

Solve the equations

Answer 1

\[\frac{ x-2 }{ 5}-\frac{ x-4 }{ 2 }=\frac{ x+5 }{ 15 }+2\]

Answer 2

If we can do it step by step that would be great.

Answer 3

hmm i would subtract x-2 and x-4 first so it is x-6 and subtract 5 by 2 so that fraction is \[\frac{ x-6 }{ 3 }\]

Answer 4

next i would simplify it so that is x-2

Answer 5

now simplify \[\frac{ x+5 }{ 15 }\]

Answer 6

\[\frac{ x+1 }{ 5 }\]

Answer 7

i lost you after x-6/3

Answer 8

is the answer multiple choice?

Answer 9

no sadly

Answer 10

agh that would make it 10x easier so i know if it needs to be whole number or fraction

Answer 11

what im doing with x-6/3 is simplying so there is no more fraction

Answer 12

when i simplify it it turns into x-2

Answer 13

oh alright

Answer 14

now we are simplifying x+5/15 to make it a smaller fraction so it's not as big of a pain and that will turn into x+1/3

Answer 15

now we need to get x's on one side numbers on the other so
\[x-2=\frac{ x+1 }{ 3 }+2\]

Answer 16

how do i get that positive 2 over on the left hand side?

Answer 17

-2

Answer 18

so x-4

Answer 19

yes subtract it so now the equation is
\[x-4=\frac{ x+1 }{ 3}\]

Answer 20

then you multiply i think the 3

Answer 21

now from here i would multiply the 3 into -4 to get rid of the fraction and the equaiton is now x-12=x+1
add 12 to 1
x=x+13
x=13?

Answer 22

3x-12=x+1

Answer 23

cause you are multiplying the 3 to everything no?

Answer 24

i think it ends up being x=13/2

Answer 25

ahh yes

Answer 26

But i think we did something wrong I just can't tell

Answer 27

if it gave us multiple choice it would be easier but no real way of telling right now

Answer 28

@KlOwNlOvE I use mathway to check my answers and it says x=-2

Answer 29

ah i found it in my old college algebra book
they find the LCD which is 30.
\[30(\frac{ m-2 }{ 5 }-\frac{ m-4 }{ 2 })=30(\frac{ m+5 }{ 15} +2)\]

Answer 30

then they distribute

Answer 31

6(m-2)-15(m-4)=2(m+5)+60

Answer 32

-9m+48=2m+70
-11m=22

Answer 33

m=-2

Answer 34

and thats it I think

Answer 35

yeah i did it completely wrong >.<

Answer 36

haha

Answer 37

its fine thanks though

Answer 38

no thank you :) learned something new

Answer 39

@ya

Answer 40

@YanaSidlinskiy