Question 1203510
 2/3 (3x+9)=-2(2x+6)


You mean this way>
{{{(2/3)(3x+9)=-2(2x+6)}}}


Multipl. bth. sides 3

{{{2(3x+9)=-6(2x+6)}}}

Distrib. prpty.

{{{6x+18=-12x-36}}}

Additive Inverse prop.

.
.
{{{18x=-54}}}


{{{x=-3}}}-------------------answer



-


Looking closely, both sides of equation have a factor  {{{highlight_green(x+3)}}}, which can very much make simplification at the start, easier.