60.8k views
5 votes
The sum of twice a number and 6 is the same as 3 subtracted from the number itself

2 Answers

4 votes

Final answer:

To solve the equation, subtract x from both sides and simplify to find the value of x.

Step-by-step explanation:

To solve this problem, let's call the number 'x'. The equation can be written as 2x + 6 = x - 3. Now let's solve for 'x' step-by-step:

  1. Subtract 'x' from both sides of the equation: 2x + 6 - x = x - x - 3.
  2. This simplifies to x + 6 = -3.
  3. Subtract 6 from both sides of the equation: x + 6 - 6 = -3 - 6.
  4. This simplifies to x = -9.

Therefore, the number is -9.

User Babavalibob
by
7.5k points
2 votes

Answer: The required number is -9.

Step-by-step explanation: Given that the sum of twice a number and 6 is the same as 3 subtracted from the number itself.

We are to find the number.

Let x represents the given number.

Then, according to the given information, we have


2x+6=x-3\\\\\Rightarrow 2x-x=-3-6\\\\\Rightarrow x=-9.

Thus, the required number is -9.

User Craig T
by
6.8k points