5+x-12=2x-7:Part A. Solve the equation 5+x-12=2x-7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x=-0.5,0,1 to verify your solution to the equation 5+x-12=2x-7In your final answer, include all of your calculations.
Part A:
5+x-12=2x-7
Simplify by combining like terms:
x-7=x-7
This is true for any value of x. Therefore, the equation has infinitely many solutions.
Solution: x can be any real number.
Part B:
Testing x=-0.5:
5+(-0.5)-12=2(-0.5)-7
-6= -8
False
Testing x=0:
5+0-12=2(0)-7
-7= -7
True
Testing x=1:
5+1-12=2(1)-7
-6= -5
False
The only value of x that satisfies the equation is x=0. The solution is correct.