Question 627615
{{{(x+4)/(x-3)=10/(3-x)}}}
{{{(-1)(x+4)/(-1)(x-3)=10/(3-x)}}}
{{{(-x-4)/(3-x)=10/(3-x)}}}
{{{(-x-4)/cross((3-x))=10/cross((3-x))}}}
{{{-x-4=10}}}
{{{-x=10+4}}}
{{{-x=14}}}
Multiply by -1 both sides
{{{x=-14}}}


Check
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{{{(x+4)/(x-3)=10/(3-x)}}}
Put {{{x=-14}}}
{{{(-14+4)/(-14-3)=10/(3-(-14))}}}
{{{-10/-17=10/(3+14)}}}
{{{-10/-17=10/(3+14)}}}
{{{-10/-17=10/17}}}
Cancel out (-) from left side
{{{10/17=10/17}}}