6x-(2x-5)=2(2x+4)

To solve the equation \( 6x - (2x - 5) = 2(2x + 4) \), we can follow these steps:

1. Distribute and simplify both sides: \[ 6x - 2x + 5 = 4x + 8 \] Here, we distribute the negative sign in \( -(2x - 5) \).

2. Combine like terms on the left side: \[ (6x - 2x) + 5 = 4x + 8 \] Simplifying the left side gives: \[ 4x + 5 = 4x + 8 \]

3. Subtract \( 4x \) from both sides: \[ 5 = 8 \]

The equation \( 5 = 8 \) is a contradiction, which means there is no solution for the equation.

Therefore, the original equation has no solution.