Question 1207383
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If you get the answer x = -3 when you "go through the process of solving" the equation, then your process is flawed.<br>
{{{5/(x+3)+3=(8+x)/(x+3)}}}<br>
{{{5/(x+3)+(3(x+3))/(x+3)=(8+x)/(x+3)}}}<br>
{{{(5+3x+9)/(x+3)=(8+x)/(x+3)}}}<br>
{{{(3x+14)/(x+3)=(8+x)/(x+3)}}}<br>
The denominators are the same, so the numerators must be equal:<br>
{{{3x+14=8+x}}}
{{{2x=-6}}}
{{{x=-3}}}<br>
The solution, IF THERE IS ONE, is x = -3.  But that "solution" is subject to the restriction that the denominator can't be zero.<br>
When x = -3, the denominator IS zero.  So the only POTENTIAL solution is not a solution; the equation has no solution.<br>
ANSWER: no solution<br>