SOLUTION: (7x/4)-[(6x-(1)]/2)=(3/4) The fractions really mess me up. I am sorry but my work makes no sense so I will just leave it off.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: (7x/4)-[(6x-(1)]/2)=(3/4) The fractions really mess me up. I am sorry but my work makes no sense so I will just leave it off.       Log On


   

Question 169773: (7x/4)-[(6x-(1)]/2)=(3/4)
The fractions really mess me up. I am sorry but my work makes no sense so I will just leave it off.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%287x%2F4%29-%28%286x-%281%29%29%2F2%29=%283%2F4%29

Just multiply the %286x-%281%29%29%2F2 part by 1 in the form of 2%2F2 so that all of the denominators are the same, namely 4:

%28%286x-%281%29%29%2F2%29%282%2F2%29=%2812x-2%29%2F4 so that

%287x%2F4%29-%28%286x-%281%29%29%2F2%29=%283%2F4%29 (your original problem) becomes:

%287x%2F4%29-%28%2812x-2%29%2F4%29=%283%2F4%29

Now you can collect like terms in the numerators (because you can just add numerators anytime the denominators are equal).

%28-5x%2B2%29%2F4=3%2F4

Multiply both sides of the equation by 4

-5x%2B2=3

Add -2 to both sides

-5x=1

And finally divide both sides by -5

x=-%281%2F5%29

Check the answer by substituting -%281%2F5%29 for x in the original equation and do the arithmetic to see if a true statement results. I'll leave this part as an exercise for the student.