SOLUTION: 1/3(x-6)=-2/5x+14/15 So what I've done is: 1/3x-2=-2/5x+14/15 +2 ----------- ------ 1/3x=-2/5x+44/15 From here I don't know what to do. I'm terrible at fractions!

Algebra ->  Equations -> SOLUTION: 1/3(x-6)=-2/5x+14/15 So what I've done is: 1/3x-2=-2/5x+14/15 +2 ----------- ------ 1/3x=-2/5x+44/15 From here I don't know what to do. I'm terrible at fractions!      Log On


   

Question 50902: 1/3(x-6)=-2/5x+14/15
So what I've done is:
1/3x-2=-2/5x+14/15
+2
------------------
1/3x=-2/5x+44/15
From here I don't know what to do. I'm terrible at fractions!
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%281%2F3%29%28x-6%29=%28-2%2F5%29%28x%29%2B%2814%2F15%29+
Distribute the 1/3
+%281x%2F3%29+-+2+=+%28-2x%2F5%29+%2B+%2814%2F15%29+
Add 2 to both sides
+%281x%2F3%29+-+2+%2B+2+=+%28-2x%2F5%29+%2B+%2814%2F15%29+%2B+2+
"Make zeros" on the left side
+%281x%2F3%29+=+%28-2x%2F5%29+%2B+%2814%2F15%29+%2B+2+
Change the 2 to 15ths
+%281x%2F3%29+=+%28-2x%2F5%29+%2B+%2814%2F15%29+%2B+%2830%2F15%29+
Add like terms on the right side
+%281x%2F3%29+=+%28-2x%2F5%29+%2B+%2844%2F15%29+
Add 2x/5 to both sides
+%281x%2F3%29+%2B+%282x%2F5%29+=+%28-2x%2F5%29+%2B+%282x%2F5%29+%2B+%2844%2F15%29+
"Make zeros" on the right
+%281x%2F3%29+%2B+%282x%2F5%29+=+%2844%2F15%29+
Change 1/3 to 15ths (common denominators)
+%285x%2F15%29+%2B+%282x%2F5%29+=+%2844%2F15%29+
Change 2/5 to 15ths (common denominators)
+%285x%2F15%29+%2B+%286x%2F15%29+=+%2844%2F15%29+
combine like terms
+11x%2F15+=+44%2F15+
Since it is an equation, and the denominators are the same ... drop them.
+11x+=+44+
divide by 11 on both sides
+x+=+4+