Given the equation 5 + x - 12 = x - 7. Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work. Part B. Use the values x = - 4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your calculations.

Question

Damion Austin

Mathematics

20 November, 20:39

Given the equation 5 + x - 12 = x - 7. Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work. Part B. Use the values x = - 4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your calculations.

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Answers (1)

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Braedon Bradley · Answer 1

5+x-12=x-7 combine like terms on left side

x + (5-12) = x-7

x-7=x-7 add 7 to both sides

x=x This is true for all values of x so there are infinitely many solutions.

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5-4-12=-4-7, - 11=-11

5+0-12=0-7, - 7=-7

5+5-12=5-7, - 2=-2