1. **State the problem:** We need to check if $x=3$ is a solution to the equation $$5(x + 2) = 2x + 19$$ by substituting $x=3$ into both sides and verifying if they are equal. 2. **Substitute $x=3$ into the left side:** $$5(3 + 2) = 5(5) = 25$$ 3. **Substitute $x=3$ into the right side:** $$2(3) + 19 = 6 + 19 = 25$$ 4. **Compare both sides:** Left side = 25 Right side = 25 Since both sides are equal, the substitution confirms that $x=3$ is a correct solution to the equation. **Final answer:** $x=3$ is a solution to the equation $5(x + 2) = 2x + 19$.