To solve the equation \( 3(x + 1) - 5 = 3x - 2 \), let's first simplify both sides.
Starting with the left side:
\[ 3(x + 1) = 3x + 3 \] So,
\[ 3(x + 1) - 5 = 3x + 3 - 5 = 3x - 2. \]
Now, we can rewrite the equation as:
\[ 3x - 2 = 3x - 2. \]
Since both sides of the equation are identical, this means that the equation is true for any value of \( x \). Therefore, there are infinitely many solutions to the equation.