Question 123587
First of all, what you did by eliminating the division in the equation is bad. This is because by doing that, you just hcanged the value of x that makes the equation true.

Equation:
{{{(5x + 6)/(2) = (9x - 3)/(3)}}}
The first step is to multiply both side with 6, so that we can eliminate the fraction.
{{{6((5x + 6)/(2)) = ((9x - 3)/(3))6}}}
Simplify.
{{{3(5x+6)=2(9x-3)}}}
Distribute.
{{{15x+18=18x-6}}}
Solve for x.
{{{x=8}}}