Question

how to solve 2(2x+3)-10<6(x-2) ?

Answer 1

move all terms with x to the left

Answer 2

2(2x+3)-10<6(x-2)
4x+6-10<6x-12

Answer 3

that the initial step

Answer 4

now can u?

Answer 5

i dont kno wat to do after (-2x)<(-8)

Answer 6

oh. multiply both sides by (-1)

Answer 7

and this will change the sign

Answer 8

< becomes >

Answer 9

In this case:
(-2x)<(-8)
(-2x)*(-1)>(-8)*(-1)
2x>8
x>4

Answer 10

got it?

Answer 11

but my buk ans says x<4

Answer 12

2(2x+3)-10<6(x-2)
4x+6-10<6X-12
4x-4<6x-12
-4+12<2x
8<2x
4<x
hope it helped a bit

Answer 13

And 4<x is x>4

Answer 14

So I guess your book is wrong this time @shrinifores

Answer 15

As books cannot be right every time

Answer 16

i'm confused wid this step
1) -2x<-8
2x>8
x>4
2) -2x<-8
x<-8/-2
x<4

Answer 17

1) -2x<-8
2x>8
x>4

Answer 18

This is correct

Answer 19

do u want me to explain. why?

Answer 20

yes, pls do...

Answer 21

At first,
-1>-2

Answer 22

right?

Answer 23

yes..

Answer 24

so if u multiply both sides by -1 then,
-1*(-1)>-2*(-2)
1>4
which is false

Answer 25

right?

Answer 26

yeah..

Answer 27

so there the sign changes... when we multily both sides by (-1) and divide both sides by (-1)

Answer 28

got it?

Answer 29

but wat if we do this way..
-2x<-8
x<-8/-2
x<4

Answer 30

Actually, there u jumped some few steps

Answer 31

if u do it step by step... then u will see

Answer 32

can u tel ?

Answer 33

-2x<-8
-2x/2 <-8/2
-x<-4
-x*(-1)>-4*(-1)
x>4

Answer 34

got it?

Answer 35

yeah now i get it... i cant solve as i do in an equation...

Answer 36

YEAh....

Answer 37

thank you so much....

Answer 38

2(2x+3)-10<6(x-2)
4x+6 -10<6x-12 Disribute the 2(2x+3) by mulitplying 2*2=4. Add it on to the x, so 4x.Then 2*3=6 . Also, distribute the other side the same way 6*1x=6x and 6*-2=-12

4x-4<6x-12
-4x -4x Now subtract the 4x from both sides.

-4<2x-12
+12 +12 Add the 12 to both sides

8<2x
/2 /2 divide both side by 2 to get x by itself.

4<x This is the final answer.

Answer 39

WELCOME

Answer 40

^Just a simplified answer, because that's how my teacher taught it to us.

Answer 41

i think i'm lacking in the basics...

Answer 42

It's ok, and don't forget to flip the sign if you divide or multiply by a negative number.

Answer 43

okie...

Answer 44

BEST OF LUCK @shrinifores

Answer 45

thnQ