Calculate: (x+4)/((x+4) * (x-2))-(5x)/(5(x-2))

Expression: $\frac{ x+4 }{ \left( x+4 \right) \times \left( x-2 \right) }-\frac{ 5x }{ 5\left( x-2 \right) }$

Cancel out the common factor $x+4$

$\frac{ 1 }{ x-2 }-\frac{ 5x }{ 5\left( x-2 \right) }$

Cancel out the common factor $5$

$\frac{ 1 }{ x-2 }-\frac{ x }{ x-2 }$

Write all numerators above the common denominator

$\frac{ 1-x }{ x-2 }$