Given the equation 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 prove your solution to the equation 5 + x - 12 = 2x - 7. In your final answer, include all of your calculations.

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Mathematics

29 July, 01:48

Given the equation 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 prove your solution to the equation 5 + x - 12 = 2x - 7. In your final answer, include all of your calculations.

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Ethan Cobb · Answer 1

5 + x - 12 = 2x - 7

-7 + x = 2x - 7

-7 + 7 = 2x - x

0 = x

check ... sub in 0 for x

5 + 0 - 12 = 2 (0) - 7

5 - 12 = - 7

-7 = - 7 (correct)

if u were to sub in - 0.5 for x

5 + (-0.5) - 12 = 2 (-0.5) - 7

5 - 0.5 - 12 = - 1 - 7

4.5 = - 8 (incorrect)

if u were to sub in 1 for x

5 + 1 - 12 = 2 (1) - 7

6 - 12 = 2 - 7

-6 = - 5 (incorrect)