Calculate: (x-6)/(12)+(x-4)/(13)

Expression: $\frac{ x-6 }{ 12 }+\frac{ x-4 }{ 13 }$

Write all numerators above the least common denominator $156$

$\frac{ 13\left( x-6 \right)+12\left( x-4 \right) }{ 156 }$

Distribute $13$ through the parentheses

$\frac{ 13x-78+12\left( x-4 \right) }{ 156 }$

Distribute $12$ through the parentheses

$\frac{ 13x-78+12x-48 }{ 156 }$

Collect like terms

$\frac{ 25x-78-48 }{ 156 }$

Calculate the difference

$\frac{ 25x-126 }{ 156 }$