Question

What is the answer to 3/x=-3/3x+5

Answer 1

Answer:

$-\frac{5}{4} =x$

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.

$\frac{x(3x+5)}{1} *\frac{3}{x} =\frac{-3}{3x+5}*\frac{x(3x+5)}{1}$

This will eliminate both denominators and leave me with

$(3x+5)3=-3(x)\\9x+15=-3x$ after I simplify the parenthesis.

Now I will solve the equation for x by subtracting 9x from both sides.

$9x-9x+15=-3x-9x\\15=-12x$

Then divide by the coefficient of x.

$\frac{15}{-12}=\frac{-12x}{-12}$

$-\frac{5}{4} =x$