Let's solve the equation step by step.
The equation is: \[ 6x - (2x - 5) = 2(2x + 4) \]
First, distribute the negative sign on the left side: \[ 6x - 2x + 5 = 2(2x + 4) \]
Combine the like terms on the left: \[ 4x + 5 = 2(2x + 4) \]
Now, distribute the 2 on the right side: \[ 4x + 5 = 4x + 8 \]
Next, subtract \(4x\) from both sides: \[ 5 = 8 \]
This is a contradiction, which means there is no solution to the equation.
The equation has no values of \(x\) that satisfy it.
