Answer:
x=-11
Step-by-step explanation:
The solution to the equation is -11.
First I set up the equation.
1/2(x-8)=3/2x+7
Next, I simplified the equation. 1/2x-4=3/2x+7.
Then, I added 4 to both sides. 1/2x=3/2x+11.
Next, I subtracted 3/2x on both sides. -1x=11.
Then, I divided -1 on both sides, so I would have x by itself.
x=-11.
In conclusion, the solution to the equation is x= -11.
To check to make sure this is the correct answer, I put -11 into the x values of the equation.
1/2(-11-8)=3/2(-11)+7
Both sides of the equation equal -19/2.
