Question

This is an easy algebra 1 question!!
will fan and medal!!!!
Solve: 1/2x + 1 = –x + 8
i totally forgot how to do this???
please walk me through

Answer 1

Well first you start off by trying to isolate the variable(x)

Answer 2

right. opposite operation?

Answer 3

Right, To do this you can start by subtracting 1 from both sides to get \[1/2x =-x+7\]

Answer 4

after that you have to subtract -x to both sides (add x) to get 3/2x=7

Answer 5

then you divide both sides by 3/2 to get x = 4.6666 (repeating) or 14/3

Answer 6

but why 3/2?

Answer 7

@tbeneka

Answer 8

it would be 3/2 because 1/2+1 = 3/2

Answer 9

but how does adding x get you 1?

Answer 10

@tbeneka

Answer 11

and also the options are:
7
1/2
14
18

Answer 12

@tbeneka pls help me finish sory im being annoying i just dont fully understand

Answer 13

sorry my internet stopped working for a bit

Answer 14

wait is the equation formatted like option one or two

option one: \[\frac{ 1 }{ 2 }x+1=-x+8\]
option two: \[\frac{ 1 }{ 2x }+1=-x+8\]

Answer 15

option 1

Answer 16

Hmmm well I'm not sure because I'm a 100 percent sure the answer to number one is 14/3

Answer 17

ok thanks i chose 14 and got it right :)

Answer 18

lol okay good job :DD

Answer 19

thanks for all ur help. gave you a medal and becam a fan