No solution Step-by-step explanation:

Part A:

5+x-14=x-7

Simplify the left side by doing 5-14=-11. Now the equation is x-11=x-7
Since you want x by itself, you want to get the -11 to the other side. The way to do this is to add 11 to -11 so it equals 0. Because you added 11 to the left side, this also needs to be done on the right side, so do 11-7=4. Now the equation is x=x-4.
Since we want to solve for x, we need all the x values together. We're gonna use the same method we used and bring the x on the right over to the left by subtracting both x's by x. This will leave you with 0=4 because the x's will cancel out. Because 0 doesn't equal 4, the equation is considered "no solution"
Part B:

Because the equation is no solution, this part is actually really simple. If we plug in all these values, they verify that there's no solution. -2, 0, nor 3 equal 4.