$x + \frac{2}{5} = x - 2$

Answer

This equation has no solution.

Explanation

x + \frac{2}{5} 5 x + 5 \cdot \frac{2}{5} 5 x + 2 5 x - 5 x 5 x - 5 x 0 = x - 2 = 5 x - 5 \cdot 2 = 5 x - 10 = - 10 - 2 = - 12 = - 12 multiply ALL terms by 5 . cancel out the denominators move the 5 x to the left side and 2 to the right simplify left and right hand side

Since the statement $0 = - 12$ is FALSE, we conclude that the equation has no solution.

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x+52​=x−2

This equation has no solution.

$x + \frac{2}{5} = x - 2$