Solve for x

Question

.
5/3x − 4 = −9

Responses

x=3

x=5

x=−3

x=−5

Answer 1

To solve for x, we need to isolate the variable. Let's solve the equation step by step:

5/(3x) - 4 = -9

First, let's add 4 to both sides of the equation to get rid of the -4 on the left side:

5/(3x) = -5

Next, let's multiply both sides of the equation by 3x to get rid of the denominator of 5/(3x):

(3x)*(5/(3x)) = -5 * (3x)

This simplifies to:

5 = -15x

Finally, let's divide both sides of the equation by -15 to solve for x:

5/(-15) = (-15x)/(-15)

This simplifies to:

-1/3 = x

So the solution to the equation is x = -1/3.