Question 214664
{{{4/x+7=2/3x}}}


Step 1.  Multiply 3x to both sides of equation to get rid of denominators.


{{{4/x+7=2/3x}}}


{{{3x*(4/x+7)=3x*2/3x}}}


{{{12+21x=2}}}


Step 2.  Subtract 12 from both sides to get x-terms on left side of equation and numbers on the right side.


{{{12+21x-12=2-12}}}


{{{21x=-10}}}


Step 3.  Divide 21 to both sides of equation to get x.


{{{21x/21=-10/21}}}


{{{x=-10/21}}}


Step 4.  ANSWER:  {{{x=-10/21}}}


I hope the above steps were helpful. 


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And good luck in your studies!


Respectfully,
Dr J