When you subtract 2 from a number double the difference and then add 7 you get 57. What is the number
2(x - 2) + 7 = 57
2x - 4 + 7 = 57
2x = 57 - 3
2x = 54
x = ?
27
To solve this problem, we need to break it down step by step. Let's assign the unknown number as "x".
Step 1: "When you subtract 2 from a number" translates to x - 2.
Step 2: "Double the difference" means multiplying the result of step 1 by 2, which is 2 * (x - 2).
Step 3: "Add 7" to the doubled difference from step 2, giving us 2 * (x - 2) + 7.
Step 4: The final expression is "you get 57", which can be written as 2 * (x - 2) + 7 = 57.
Now, we need to solve this equation to find the value of "x".
Step 5: Start by simplifying the equation: 2 * (x - 2) + 7 = 57.
- Distribute the 2 to the terms inside the parentheses: 2x - 4 + 7 = 57.
- Combine like terms: 2x + 3 = 57.
Step 6: Next, isolate the variable. Subtract 3 from both sides of the equation: 2x + 3 - 3 = 57 - 3.
- Simplify further: 2x = 54.
Step 7: To solve for "x," divide both sides of the equation by 2: 2x/2 = 54/2.
- This simplifies to: x = 27.
So, the number that satisfies the given conditions is 27.