Question 106200
Restrictions means are there any values of x that would cause a problem. 
In this case, if x=0, there is a division by zero which is not allowed in mathematics. 
{{{(3x+8)/x=-14}}} 
{{{3x+8=-14x}}} Multiply both sides by x.
{{{8=-14x-3x}}} subtraact 3x from both sides.
{{{8=-17x}}} 
{{{(-8)/17=x}}} Divide both sides by (-17)
{{{highlight(x=(-8)/17)}}} Final answer.
Always check your answer.
{{{(3x+8)/x=-14}}}
{{{(3(-8/17)+8)/(-8/17)=-14}}} Substitute.
{{{(-24/17+136/17)/(-8/17)=-14}}} Find same denominator to add fractions. 
{{{(-24+136)/(-8)=-14}}} Multiply numerator and denominator by 17 to simplify.
{{{112/(-8)=-14}}}
{{{-14=-14}}}
Good answer.