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

Question

olga nikolaevna [1]

3 years ago

6

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

Mathematics

2 answers:

Delvig [45] · Answer 1 · 2022-07-20T14:41:34+03:00

Delvig [45]3 years ago

7 0

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

konstantin123 [22] · Answer 2 · 2022-07-20T12:34:11+03:00

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 :)