:2÷3 = x
Now we compare the value given in the equation to the value we find found (above) for x.
:2÷3 '''!=''' 2(1+2)
:6÷2(1+2) '''!=''' 9
<p style="text-align:center;"> {{highlight|Without fail, 2(1+2) will always equal (2*1 + 2*2), this is the '''Distributive Law.'''}}</p>
== Proof of correct solution ==
6÷2(1+2) has two EXPLICIT operators, division and addition. However, IMPLIED multiplication tells us to IMPLICITLY multiply, [2(2+1)], in the P step of PEMDAS.
Then in In the division step, we must apply division to the (entire) implicitly connected termparenthetical expression. We cannot apply division to the coefficient (2) and then not apply division to the factor (2+1).
'''Incorrect:''' (''because division is not EXPLICITLY applied to the entire parenthetical expression'')
<div style="color:red;">
<div style="width:60px; text-align:center; float:left;">