To solve the equation 2(2x-5) = 3x - (x-2x), we can follow these steps:
1. Simplify both sides of the equation:
4x - 10 = 3x - x + 2x
2. Combine like terms on each side:
4x - 10 = 4x
3. Subtract 4x from both sides to isolate the variable:
4x - 4x - 10 = 4x - 4x
Simplifying further:
-10 = 0
4. Since -10 does not equal 0, this equation has no solution.
Therefore, the equation 2(2x-5) = 3x - (x-2x) has no solution.