Create an equation modeling the scenario. Use the equation to solve for the missing number. In your final answer, include the equation and all necessary calculations.
Twice the sum of a number and seven is three times the number.
Equation: 2(x + 7) = 3x
Calculation: Distribute the 2
2x + 14 = 3x
Calculation: Subtract 2x from both sides
14 = x
Final Answer: x = 14, Equation: 2(14 + 7) = 3(14)