Question

...WRONG ANSWER...

Answer 1

\[\huge~\rm~\frac{ -1 }{ 2 }x+1=-x+8\]
Correct?

Answer 2

First step is to subtract 1 from both sides because we are trying to isolate x
\[\huge~\rm~\frac{ -1 }{ 2 }x+1-1=-x+8-1\]
What is 8-1=?

Answer 3

Good 1-1 cancels out
\[\huge~\rm~\frac{ -1 }{ 2 }x=-x+7\]
Now we need to add x to both sides so that we have x's on one side and the numbers without variables on the other side
-1/2x+x=?

Answer 4

basically you are adding the x (1) to make -1/2 = 1/2

Answer 5

so you get
\[\huge~\rm~\frac{ 1 }{ 2}x=7\]

Answer 6

Now we need to multiply by the reciprocal
\[\huge~\rm~\frac{ 1 }{ 2}x=7\]
1/2=2/1 or 2
2 x 1/2=x
x=7 x 2
7 x 2=?

Answer 7

good so your final answer would be x=14 =)

Answer 8

no problem!! :D