Question 77336
2-(x-1/4)=x+2/3  first lets get rid of the parens

2-x+1/4=x+2/3  (note that (x-1/4), in effect, is multiplied by -1).  Next we will get rid of the fractions.  We can do this by multiplyiing every term by the LCM which is 12 (smallest number that both 4 and 3 evenly divides into)

2(12)-x(12)+(1/4)(12)=x(12)+(2/3)(12)  simplifying we get

24-12x+3=12x+8 or

27-12x=12x+8  subtract 27 and also 12x from both sides 

27-27-12x-12x=12x-12x+8-27  collect like terms

-24x=-19  divide both sides by -24

x=19/24 or 0.79167-----------------ans


ck

2-(0.79167-0.25)=0.79167+0.66667
2-0.54167=1.45834
1.45833=1.45834-----------------close enough


Hope this helps----ptaylor