Question 827962
You have:
{{{ (5m)/8 - 6/8 + (3m)/8 = 2/8 }}}
------------------------------
Each term on the left side is divided by {{{ 8 }}}
and so is the term on the right, so what you
really have is:
{{{ (1/8)*( 5m - 6 + 3m ) = (1/8)*2 }}}
Notice that I used the distributive law on the left
------------------------------------------
Now multiply both sides by {{{ 8 }}} and you have:
{{{ (8/8)*( 5m - 6 + 3m ) = (8/8)*2 }}}
This is simply:
{{{ 5m - 6 + 3m = 2 }}}
Add {{{6}}} to both sides
{{{ 5m + 3m = 8 }}}
{{{ 8m = 8 }}}
Divide both sides by {{{8}}}
{{{ m = 1 }}}
-----------
Check the answer:
{{{ (5m)/8 - 6/8 + (3m)/8 = 2/8 }}}
{{{ (5*1)/8 - 6/8 + (3*1)/8 = 2/8 }}}
{{{ 5/8 - 6/8 + 3/8 = 2/8 }}}
{{{ 5 - 6 + 3 = 2 }}}
{{{ 2 = 2 }}}
OK