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Write an equation with a variable on both sides of the equal sign that has no solution. Solve the equation and explain why it has no solution.
Let's take the equation 2x + 5 = 2x - 7 as an example.
2x + 5 = 2x - 7
Subtract 2x from both sides:
5 = -7
Now we can see that no value of x will make 5 equal to -7. Therefore, this equation has no solution. The variable x cancels out when subtracted from both sides, leaving an equation that is not possible to satisfy.