Question

2/3(x-6)+2=1/6x+1/2

Need to show work

Answer 1

3x-6 = 12x + 2

basically you multiply both sides of the equation by 3(x-6). The left side will cancel out and you will have 3x - 6 as the numberator on the right side.

Then you do the same for 6x + 1/2. The 6x + 1/2 on the right side will cancel out and you will have (6x + 1/2)*2 on the right side. Now multiply the right side out and you have

3x-6 = 12x + 2. I'll leave that for you to find x.

Answer 2

junwagh,

Good answer but I do not understand how to do this at all..

Answer 3

http://i.imgur.com/DG74w.png

Answer 4

Distribute
\[\rightarrow (2/3)x - 4 +2 = (1/6)x +(1/2)\]
Combine terms
\[(2/3)x - (1/6)x = (1/2) +2\]
\[(4/6)x - (1/6)x = (1/2) + (4/2)\]
\[(3/6)x = (5/2)\]
\[(1/2)x = (5/2)\]
Multiply by 2 on both sides
\[x = 5\]

Answer 5

lol i could be reading the problem wrong

Answer 6

6[2(x-6)/3] + 6(2) = 6[1x/6] + 6(1/2)

I multiply everything by six (which is the lowest common denominator.
Now solve.

6[(2x-12)/3] + 12 = 6x + 3
2{2x-12) + 12 = 6x + 3

^I divided the 6 by the 3.

4x-24 +12 = 6x + 3

4x - 6x = 3 +24 - 12

-2x = 13

x = 13/-2

x = -13/2