SOLUTION: Which value of x is the solution of 2x/5 + 1/3 = 7x-2/15 ?

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Question 443714: Which value of x is the solution of 2x/5 + 1/3 = 7x-2/15 ?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if you have this:
2x%2F5+%2B+1%2F3+=+7x-2%2F15+.....multiply both sides by 15
2x%2A15%2F5+%2B+1%2A15%2F3+=+15%2A7x-2%2A15%2F15+

2x%2A3+%2B+1%2A5+=+105x-2+
6x+%2B+5+=+105x-2+
2%2B+5+=+105x-6x+
7+=+99x+
7%2F99=x+
x=+0.07+

check:
2%280.07%29%2F5+%2B+1%2F3+=+7%280.07%29-2%2F15+

0.14%2F5+%2B+1%2F3+=+0.49-2%2F15+
0.028+%2B+0.3+=+0.49-0.133
0.358+=+0.357
0.4+=+0.4


but, if you have this:

2x%2F5+%2B+1%2F3+=+%287x-2%29%2F15+
2x%2A15%2F5+%2B+1%2A15%2F3+=+15%287x-2%29%2F15+


2x%2A3+%2B+1%2A5+=+7x-2

6x+%2B5+=+7x-2
2%2B5+=+7x-6x
7+=+x

check:

2%2A7%2F5+%2B+1%2F3+=+%287%2A7-2%29%2F15+
14%2F5+%2B+1%2F3+=+%2849-2%29%2F15+
14%2F5+%2B+1%2F3+=+47%2F15+
2.8+%2B+0.33+=+3.13+
3.13+=+3.13+