To solve the equation \( 3 + 2x + 3 - 6 - 2x + 5 = -3 \), let's simplify the left side step by step.
Combine like terms: \[ (3 + 3 - 6 + 5) + (2x - 2x) = -3 \]
Simplify the constant terms: \[ 3 + 3 = 6 \] \[ 6 - 6 = 0 \] \[ 0 + 5 = 5 \]
Combine the \( x \) terms: \[ 2x - 2x = 0 \]
Putting it all together, we get: \[ 5 = -3 \]
This statement is not true, which means that there are no solutions for the equation. The original equation is inconsistent.
Thus, the solution to the equation is that it has no solution.