Let's solve the equation step by step.
The equation is:
\[ 5x - 2 = 3(3x - 1) - 4x - 4 \]
First, distribute the \(3\) on the right side:
\[ 5x - 2 = 9x - 3 - 4x - 4 \]
Now, combine like terms on the right side:
\[ 5x - 2 = (9x - 4x) + (-3 - 4) \] \[ 5x - 2 = 5x - 7 \]
Next, we can subtract \(5x\) from both sides:
\[ 5x - 5x - 2 = 5x - 5x - 7 \] \[ -2 = -7 \]
Since this statement is not true, it means that the equation has no solution. Therefore, the final conclusion is that the equation \(5x - 2 = 3(3x - 1) - 4x - 4\) has no solutions.
