This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Define the unknown number. Let the number be x. Step 2: Translate the first part of the statement into an algebraic expression. "when it is double and 8 added to it" means 2x + 8. Step 3: Translate the second part of the statement into an algebraic expression. "multiplying the number by 3 and subtracting 7 from the number" means 3x - 7. Step 4: Formulate the equation by equating the two expressions. The problem states that the results from Step 2 and Step 3 are the same. 2x + 8 = 3x - 7 Step 5: Solve the equation for x. Subtract 2x from both sides: 8 = 3x - 2x - 7 8 = x - 7 Add 7 to both sides: 8 + 7 = x x = 15 The equation is 2x + 8 = 3x - 7. The number is 15. What's next?