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

Respuesta :

Ziexli
First, she distributed [tex]3*x=3x , 3*4=12, 5*x= 5x, 5* -4= -20[/tex]
Which gave her [tex]3x+12+2=2+5x-20[/tex]
Then, she combined like terms [tex]12+2=14 and 2+ -20 = -18[/tex]
Which gave her [tex]3x+14=5x-18[/tex]
Then, she subtracted [tex]3x[/tex] from both sided 
Which gave her [tex]14=2x-18[/tex]
Then, she added [tex]18 [/tex] to both sides
Which gave her [tex]32=2x[/tex]
And finally sh edivided 32 by 2 and got [tex]16=x[/tex]
hope this helps if you have any questions please pm me :)
1. Distributive Property
2. Combine Like Terms
3. Subtraction Property
4. Addition Property
5. Division Property