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 can start by simplifying both sides.

The intermediate steps can be as follows:

Step 1: Distribute 5 over 3 to both terms in the numerator: (5/3)x + 55/3 = -4/3

Step 2: Combine the like terms in the numerator: (5/3)x + 55/3 = -4/3

Step 3: Subtract 55/3 from both sides: (5/3)x = -4/3 - 55/3

Step 4: Combine the terms on the right side of the equation: (5/3)x = -59/3

Step 5: Divide both sides by 5/3: x = (-59/3)/(5/3)

Step 6: Simplify the division on the right side by multiplying by the reciprocal: x = (-59/3) * (3/5)

Step 7: Simplify the multiplication: x = -59/5

Therefore, the solution to the equation is x = -59/5.