Question

X-4=-4+x a value of x that makes the equation true is _ which when substituted into the equation and simplified makes the equation turn into _ =_ another value of x that makes to equation true is _ which when subsituted into the equation and simplified makes the equation turn into _=_

Answer 1

Let's solve the equation step-by-step.

The original equation is:

\[ X - 4 = -4 + X \]

1. 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 \( X \).

2. 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**.