The equation 5 over 3x+11 over 3=−4 over 3

Question

is solved as follows. Fill in the correct numbers to complete the solution.

Answer 1

To solve the equation, we start by simplifying the expression on the left side:
So we have:

(5/(3x)) + (11/3) = -4/3

Next, we need to get rid of the fraction. We can do this by multiplying every term by the least common denominator (3x). So we have:
3x * (5/(3x)) + 3x * (11/3) = 3x * (-4/3)

Simplifying each term gives:
5 + 11x = -4x

Now, we can combine like terms:
11x + 4x = -5

Adding the x terms gives:
15x = -5

To solve for x, we divide both sides by 15:
x = -5/15

Simplifying the fraction gives:
x = -1/3

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