Final answer:
To find the equivalent equations of (5x+6)/2 = 3 - (4/2 + 12), we need to simplify both sides of the equation. The equivalent equation is 5x + 6 = -22. So, the correct answer is b) 5x + 6 = -18.
Step-by-step explanation:
To solve the equation (5x+6)/2 = 3 - (4/2 + 12) and find the equivalent equations, we need to simplify both sides of the equation.
First, we simplify the right side of the equation: 3 - (4/2 + 12) = 3 - (2 + 12) = 3 - 14 = -11.
Next, we simplify the left side of the equation: (5x+6)/2.
To remove the division by 2, we multiply both sides of the equation by 2, giving us 5x + 6 = 2 * (-11) = -22.
Therefore, the equivalent equation to (5x+6)/2 = 3 - (4/2 + 12) is 5x + 6 = -22, which is option b).