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.
3x + 5 = 2x - 8
Subtracting 2x from both sides:
3x - 2x + 5 = 2x - 2x - 8
x + 5 = -8
Subtracting 5 from both sides:
x + 5 - 5 = -8 - 5
x = -13
However, when we substitute the value of x back into the original equation, we get:
3(-13) + 5 = 2(-13) - 8
-39 + 5 = -26 - 8
-34 = -34
Since -34 does not equal -34, this equation has no solution. There is no value of x that can make both sides of the equation equal.