Question 1203510
<br>
{{{(2/3)(3x+9)=-2(2x+6)}}}<br>
Nearly all resources will say to solve the equation by isolating the variable.  But sometimes it is possible to reach the answer with less work if we don't do that.<br>
In this problem, first simplify the expression on the left:<br>
{{{(2x+6)=-2(2x+6)}}}<br>
Now "2x+6" is a common expression on both sides, so....<br>
{{{(2x+6)+2(2x+6)=0}}}
{{{3(2x+6)=0}}}
{{{3=0}}} (never!) or {{{2x+6=0}}}
{{{2x=-6}}}
{{{x=-3}}}<br>