9x-(5x-4)=4x+4

Let's solve the equation step by step:

The given equation is:

\[ 9x - (5x - 4) = 4x + 4 \]

First, simplify the left side by distributing the negative sign:

\[ 9x - 5x + 4 = 4x + 4 \]

Now combine like terms on the left side:

\[ (9x - 5x) + 4 = 4x + 4 \] \[ 4x + 4 = 4x + 4 \]

Now, let's subtract \(4x\) from both sides:

\[ 4 = 4 \]

Since we end up with a true statement (4 = 4), this means that the equation is an identity, which is true for all values of \(x\). Therefore, the solution set is:

All real numbers (or \(x \in \mathbb{R}\)).