Question

solve the equation. 2g+14+5g=8g-3+8
g=?????

Answer 1

Can you simplify 2g+14+5g ?

Answer 2

add 2g and 5g?

Answer 3

good to get what?

Answer 4

7g

Answer 5

you got it so

2g+14+5g=8g-3+8

becomes

7g+14=8g-3+8

Answer 6

2g+14+5g=8g_3+8 -> 2g+5g-8g=-3+8-14 -> -g=-9 -> g=9

Answer 7

now can you simplify 8g-3+8 ?

Answer 8

8g-11

Answer 9

not quite

Answer 10

-3+8 is really 8-3

Answer 11

8g-5?

Answer 12

8-3 is positive 5, so it simplifies to 8g+5

Answer 13

So

7g+14=8g-3+8

then becomes

7g+14=8g+5

Answer 14

So after simplifying and combining like terms, we get 7g+14=8g+5

What's the next step?

Answer 15

find what g is? haha

Answer 16

lol yes that's the ultimate goal, but any ideas on the next step?

Answer 17

multiply?

Answer 18

The goal is to get g all by itself, so why don't get all the g terms to one side

Answer 19

So let's move all the g terms to the right side

Answer 20

ok so like 14+5=7g+8g ????

Answer 21

So how do we move that 7g on the left side to the right?

Answer 22

close...but not quite

Answer 23

7x8?

Answer 24

We have

7g+14=8g+5

to move that 7g over, we subtract 7g from both sides

Notice how 7g-7g on the left becomes 0g or just 0 (and it goes away)


So

7g+14=8g+5

becomes

14=8g+5-7g

Answer 25

Then we move that "5" over to the left side by subtracting 5 from both sides

14=8g+5-7g

14 - 5=8g+5-7g - 5

14 - 5 = 8g-7g .... Notice how 5 - 5 = 0

Answer 26

ok

Answer 27

so what do you get after simplifying?

Answer 28

9=1g?

Answer 29

good

Answer 30

or just 9 = g which flips to g = 9

Answer 31

ok cool thanks!!! again!!! haha

Answer 32

you're welcome