## anonymous one year ago Solve: The quantity 2 x minus 20 divided by 3 = 2x

1. Vocaloid

(2x-20)/3 = 2x start by multiplying both sides by 3

2. anonymous

by both sides do you mean .. both sides of the equation ?

3. Vocaloid

yes

4. UsukiDoll

$\large \frac{2x-20}{3} =2x$ yes multiply 3 throughout the equation

5. jdoe0001

$$\bf {\color{brown}{ \cancel{3}}}\cdot \cfrac{2x-20}{\cancel{3}} ={\color{brown}{ 3}}\cdot 2x$$

6. anonymous

so would i have 6x-60=6x ?

7. UsukiDoll

by multiplying 3 on both sides... the 3 for the left side ends up being canceled out

8. anonymous

so .... 2x-20= 3 times 2x ? im lost .. im not good at math

9. UsukiDoll

or another way of seeing that there is cancellation $\large \frac{(3)(2x-20)}{3} =2x (3)$ $\large \frac{(6x-60)}{3} =2x (3)$ $\large 2x-20=6x$

10. UsukiDoll

yeah you will have 2x-20= 3(2x) which becomes 2x-20=6x

11. anonymous

okay i understand that part now

12. UsukiDoll

now we just have to have all variables to the left and all numbers to the right so add 20 to both sides and subtract 6x to both sides

13. anonymous

can i solve it like a regular equation ....|dw:1438127165206:dw|

14. anonymous

sorry its tso sloppy

15. anonymous

so*

16. UsukiDoll

it's ok. I just want to check... just to be sure

17. UsukiDoll

|dw:1438127376054:dw| it's correct!

18. anonymous

i think thats right its in the answer box which is −5 −3 2 13

19. UsukiDoll

the answer should be the same even if the terms are rearranged (variables to the left, numbers to the right) |dw:1438127444700:dw|

20. anonymous

thank youu soo much you are a really good helper :)

21. UsukiDoll

^_^ you're welcome