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

Answer 1

To solve the equation 5 over 3x + 11 over 3 = −4 over 3, we need to isolate the variable x.

First, subtract 11 over 3 from both sides to get:

5 over 3x = -4 over 3 - 11 over 3

Simplifying the right side:

5 over 3x = -15 over 3

Now, multiply both sides by 3 to eliminate the fractions:

3 * (5 over 3x) = 3 * (-15 over 3)

This simplifies to:

5 over x = -15

To solve for x, we can cross-multiply:

5 * x = -15 * 1

This becomes:

5x = -15

Finally, divide both sides by 5 to solve for x:

x = -15/5

Simplifying:

x = -3

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