Answer:
[tex]-\frac{5}{4} =x[/tex]
Step-by-step explanation:
We first need to bring x up into the numerator. I will find common denominators by multiplying both sides by each denominator.
[tex]\frac{x(3x+5)}{1} *\frac{3}{x} =\frac{-3}{3x+5}*\frac{x(3x+5)}{1}[/tex]
This will eliminate both denominators and leave me with
[tex](3x+5)3=-3(x)\\9x+15=-3x[/tex] after I simplify the parenthesis.
Now I will solve the equation for x by subtracting 9x from both sides.
[tex]9x-9x+15=-3x-9x\\15=-12x[/tex]
Then divide by the coefficient of x.
[tex]\frac{15}{-12}=\frac{-12x}{-12}[/tex]
[tex]-\frac{5}{4} =x[/tex]
