SOLUTION: Solve and check each of the following equations for x. This is easy and i think I am thinking to hard. Please help. x/6 - x/8 = 1

Algebra ->  Expressions-with-variables -> SOLUTION: Solve and check each of the following equations for x. This is easy and i think I am thinking to hard. Please help. x/6 - x/8 = 1      Log On


   

Question 119326: Solve and check each of the following equations for x. This is easy and i think I am thinking to hard. Please help.
x/6 - x/8 = 1
Found 2 solutions by scott8148, MathLover1:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the least common denominator (LCD) for 6 and 8 is 24 ___ multiplying by it gives

24(x/6)-24(x/8)=24 ___ 4x-3x=24

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F6+-+x%2F8+=+1.........multiply both sides by 24(24is divisible by both 6 and 8
24%28x%2F6%29+-+24%28x%2F8%29+=+24%2A1.........
%2824%2F6%29x+-+%2824%2F8%29x+=+24.........
%284%2A6%2F6%29x+-+%283%2A8%2F8%29x+=+24.........
%284%2Across%286%29%2Fcross%286%29%29x+-+%283%2Across%288%29%2Fcross%288%29%29x+=+24.........
4x-+3x+=+24.........
x+=+24.........

check
x%2F6+-+x%2F8+=+1.........
24%2F6+-+24%2F8+=+1.........
4+-+3+=+1.........

1+=+1.........