Question

Given the equation 5+x-14=x-7: Part A. Solve the equation 5+x-14=x-7. In your final answer, be sure to state the solution and include all of your work. Part B. Use the values x=-2, 0, 3 to verify your solution to the equation 5+x-14=x-7. In your final answer, include all of your calculations.

Answer 1

Part 1/

5 + x - 14 = x - 7
We’ll cancel (X) from both sides;
5 - 14 = -7
-9 = -7
Since, -9 = -7 is False, there is no solution.

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Part2/

If we use x = -2, 0, 3

1) Case of X = -2

5 + (-2) - 14 = (-2) - 7
5 - 2 - 14 = -2 - 7
3 - 14 = -9
-11 = -9 .... False / No Solution



2) Case of X = 0

5 + (0) - 14 = (0) - 7
5 - 14 = -7
-9 = -7 ... False / No Solution



3) Case of X = 3
5 + (3) - 14 = (3) - 7
8 - 14 = -4
-6 = -4 ... False / No Solution