SOLUTION: How can I solve the following proportion x-3/4=x+3/7

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Question 867928: How can I solve the following proportion x-3/4=x+3/7
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
What proportion? You can try to solve for x in your equation, but your equation is not a proportion.

You wrote, x-3/4=x+3/7;
As rendered, x-3%2F4=x%2B3%2F7

Steps for solution:
28%28x-3%2F4%29=28%28x%2B3%2F7%29, because LCD is 4*7=28
28x-21=28x%2B12
You can not isolate x in this equation, and this equation has NO solution.

Also, before doing any steps, you could see from the given equation that left and right sides cannot be equal; both sides have term x and each side has a different constant term, and these constant terms are unequal; again cannot isolate x and no solution.