Answer:
The equation 2 – 2x – 5 = 7 is a basic algebraic equation that can be solved to find the value of x. Let’s break it down step by step:
- Start by simplifying the equation: 2 – 2x – 5 = 7
- Combine like terms on the left side of the equation: -3 – 2x = 7
- To isolate the variable x, we need to move the constant term to the right side of the equation. We can do this by adding 3 to both sides: -3 – 2x + 3 = 7 + 3
- Simplify: -2x = 10
- Now, we need to solve for x. To get the value of x, we divide both sides of the equation by -2: -2x / -2 = 10 / -2
- Simplify: x = -5
Therefore, the solution to the equation 2 – 2x – 5 = 7 is x = -5.
To better understand the steps, let’s take a look at an example using numbers:
Example:
Given the equation 2 – 2x – 5 = 7, we want to find the value of x.
Step 1: Simplify the equation: 2 – 2x – 5 = 7
Step 2: Combine like terms on the left side of the equation: -3 – 2x = 7
Step 3: Move the constant term to the right side of the equation by adding 3 to both sides: -3 – 2x + 3 = 7 + 3
Step 4: Simplify: -2x = 10
Step 5: Solve for x by dividing both sides of the equation by -2: -2x / -2 = 10 / -2
Step 6: Simplify: x = -5
Therefore, in this example, the value of x is -5.
I hope this explanation helps! If you have any further questions, feel free to ask.