Answer:
Explanation:
I understand your confusion. Let's go through the steps together to solve the equation correctly:
Given equation: 5 + x - 12 = 2x - 7
Combine like terms on the left side and the right side of the equation:
x - 7 = 2x - 7
Now, let's isolate the variable x. Subtract x from both sides of the equation:
x - x - 7 = 2x - x - 7
Simplifying:
-7 = x - 7
Next, add 7 to both sides of the equation:
-7 + 7 = x - 7 + 7
Simplifying:
0 = x
Therefore, the solution to the equation is x = 0.
If you need to use the values x = -4, 0, and 5, you can substitute each value into the original equation to check if it satisfies the equation. Let's do that:
For x = -4:
5 + (-4) - 12 = 2(-4) - 7
-11 = -15 - 7
-11 = -22
The equation is not satisfied for x = -4.
For x = 0:
5 + 0 - 12 = 2(0) - 7
-7 = -7
The equation is satisfied for x = 0.
For x = 5:
5 + 5 - 12 = 2(5) - 7
-2 = 3
The equation is not satisfied for x = 5.
Therefore, the correct solution to the equation is x = 0. The values x = -4 and x = 5 do not satisfy the equation.