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
Step 1: Define the unknown number. Let the number be x. Step 2: Translate the first part of the statement into an algebraic expression. "A number is such that when it is added to it..." This means x + x, which simplifies to 2x. Step 3: Translate the second part of the statement into an algebraic expression. "...the result is the same as multiplying the number by 3 and subtracting 7 from the number." "Multiplying the number by 3" is 3x. "Subtracting 7 from the number" means 3x - 7. Step 4: Formulate the equation by equating the two expressions. The problem states that the result from Step 2 is the same as the result from Step 3. 2x = 3x - 7 Step 5: Solve the equation for x. Subtract 3x from both sides of the equation: 2x - 3x = -7 -x = -7 Multiply both sides by -1: x = 7 The equation is 2x = 3x - 7. The number is 7. 3 done, 2 left today. You're making progress.