The equation 5 over 3x + 11 over 3 = − 4 over 3 is solved as follows. Fill in the correct numbers to complete the solution.

5/3x = ?

x= -3

1 answer

To solve the equation, we need to isolate the variable x.

Starting with the equation:
5/3x + 11/3 = -4/3

Subtracting 11/3 on both sides:
5/3x = -15/3 - 11/3
5/3x = -26/3

Dividing both sides by 5/3:
x = (-26/3) / (5/3)

To divide fractions, we multiply by the reciprocal of the denominator:
x = (-26/3) * (3/5)
x = -26/5

So, the solution to the equation is x = -26/5.