Question 552233
{{{((q+8))/3}}} + {{{((q-5))/5}}} = {{{13/3}}}
Multiply by 15
15*{{{((q+8))/3}}} + 15*{{{((q-5))/5}}} = 15*{{{13/3}}}
cancel the denominators and you have
5(q+8) + 3(q-5) = 5(13)
:
5q + 40 + 3q - 15 = 65
8q + 25 = 65
8q = 65 - 25
8q = 40
q = 40/8
q = 5
:
:
Check this in the original problem where q=5
{{{((5+8))/3}}} + {{{((5-5))/5}}} = {{{13/3}}}
{{{13/3}}} + {{{0/5}}} = {{{13/3}}}