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 how Heidi arrived at each step

Answer 1

First, she distributed
`3*x=3x , 3*4=12, 5*x= 5x, 5* -4= -20`
Which gave her
`3x+12+2=2+5x-20`
Then, she combined like terms
`12+2=14 and 2+ -20 = -18`
Which gave her
`3x+14=5x-18`
Then, she subtracted
`3x` from both sided
Which gave her
`14=2x-18`
Then, she added
`18` to both sides
Which gave her
`32=2x`
And finally sh edivided 32 by 2 and got
`16=x`
hope this helps if you have any questions please pm me :)

Answer 2

1. Distributive Property
2. Combine Like Terms
3. Subtraction Property
4. Addition Property
5. Division Property