Question

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x – 18 32 = 2x 16 = x Use the drops-downs to justify the steps Heidi used to solve the equation.

Their is 5 drop down menues.I have to make a good grade on this and i really need the right answer so please help if you know what your doing i seriously need to pass this quiz.

Answer 1

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4) step by step, resulting in x = 16.

Step-by-step explanation:

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4) step by step as follows:

1. Distribute the 3 to both terms inside the parentheses: 3x + 12 + 2 = 2 + 5x – 20
2. Combine like terms: 3x + 14 = 5x – 18
3. Subtract 3x from both sides: 14 = 2x – 18
4. Add 18 to both sides: 32 = 2x
5. Divide both sides by 2: x = 16

Therefore, the solution to the equation is x = 16.