Question

Please help Im stuck on the last one.
Solve for x: 2 over 5 (x - 4) = 2x.

Answer 1

\[\frac{2}{5}(x-4) = 2x\]

Answer 2

Step : 1 - Multiply by 5 both the sides first..
Step : 2 - Then divide by 2 both the sides..
Step : 3 - Then, subtract \(x\) from both the sides.
Step : 4 - Then, divide by 4 both the sides.

Finally, you will get the value of \(x\)..

Answer 3

so multiply 2 over 5 by 5

Answer 4

and 2x?

Answer 5

yes.. What you got after step 1?

Answer 6

10 over 5

Answer 7

Just do it, if you are wrong, I will correct, now try, don't hesitate..

Answer 8

Can't you cancel 5 with 5 there?

Answer 9

yes

Answer 10

oh the 5 cancels that 5 leaving me with 2

Answer 11

\[\frac{2}{5}(x-4) \times 5 = 2x \times 5 \\ \frac{2}{\cancel{5}}(x-4) \times \cancel{5} = 10x \\ 2(x-4) = 10x\]

Answer 12

This is what you get after step 1..
Now what you get after step 2??

Answer 13

then I divide by 2

Answer 14

yeah do it..

Answer 15

(x-4)=5x

Answer 16

Wow, superb..!! :)
Now (x-4) you can write it as : x - 4, without brackets too, no harm...

Answer 17

\(x - 4 = 5x\)

Answer 18

Now, subtract \(x\) from both sides which is our 3rd step.
Do it..

Answer 19

-4=5

Answer 20

LHS is -4.. that is only good, what about RHS?

Answer 21

\[x - 4 \color{red}{- x} = 5x \color{red}{-x} \\ \cancel{x} - 4 \color{red}{\cancel{-x}} = 5x \color{red}{- x} \\ -4 = 5x \color{red}{- x}\]

Answer 22

Now tell me what is \(5x-x\) = ??

Answer 23

5

Answer 24

How?

Answer 25

I tell you by one more method..
Okay, take \(x =2\), now \(5x = 5 \times 2 = 10\)

Answer 26

Is this good? I have taken the value of x = 2, x is any number there, it is variable, it can take any value, so I took its value as 2 just as an example...

Answer 27

\(5x\) means \(5 \times x\) that is 5 is multiplied with \(x\)..

Answer 28

sorry my computer froze and reset

Answer 29

so it pasted my last message

Answer 30

If I take x = 2, then \(5x\) becomes \(5 \times x = 5 \times 2 = 10\), this you got?

Answer 31

yes

Answer 32

So, you have :