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 how Heidi arrived at each step
2 answers:
1. Distributive Property 2. Combine Like Terms 3. Subtraction Property 4. Addition Property 5. Division Property
First, she distributed
Which gave her
Then, she combined like terms
Which gave her
Then, she subtracted
from both sided
Which gave her
Then, she added
to both sides
Which gave her
And finally sh edivided 32 by 2 and got
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