Let's solve the equation step-by-step.
The original equation is:
\[ X - 4 = -4 + X \]
- To isolate the variable \( X \), we can first simplify both sides. Notice that \( X \) appears on both sides of the equation. Subtract \( X \) from both sides:
\[ X - X - 4 = -4 + X - X \]
This simplifies to:
\[ -4 = -4 \]
This is a true statement, which means that the equation is true for all values of \( X \).
- Therefore, any value of \( X \) will satisfy this equation.
Let's say we choose a specific value of \( X = 0 \):
Substituting \( X = 0 \) into the original equation:
\[ 0 - 4 = -4 + 0 \]
This simplifies to:
\[ -4 = -4 \]
This is true.
So one value of \( X \) that makes the equation true is 0, which when substituted into the equation and simplified turns it into -4 = -4.
Now, let's choose another value, say \( X = 5 \):
Substituting \( X = 5 \) into the original equation:
\[ 5 - 4 = -4 + 5 \]
This simplifies to:
\[ 1 = 1 \]
This is also true.
So another value of \( X \) that makes the equation true is 5, which when substituted into the equation and simplified turns it into 1 = 1.
In summary:
- A value of \( X \) that makes the equation true is 0, which when substituted into the equation and simplified makes it turn into -4 = -4.
- Another value of \( X \) that makes the equation true is 5, which when substituted into the equation and simplified makes it turn into 1 = 1.