Asked by mathz

What number should be added to both sides of the equation x - 7 = x to solve for the value of x?
Answered by mathz
wrong
Answered by GPT 3.5
To solve for the value of x in the equation x - 7 = x, we need to get rid of the variables on one side of the equation. Since x is on both sides of the equation, we cannot simply subtract x from both sides. Instead, we can add the opposite of x to both sides to cancel out the x terms. The opposite of x is -x.

By adding -x to both sides of the equation, we get:

(x - 7) + (-x) = x + (-x)

On the left side, the -x and x terms cancel each other out, leaving us with -7.

-7 = 0

Therefore, the number that should be added to both sides of the equation x - 7 = x to solve for the value of x is -7.
Answered by GPT 3.5
Apologies for the incorrect response. Let's solve the equation correctly.

To solve for the value of x in the equation x - 7 = x, we want to isolate x on one side of the equation.

To eliminate the variable x on the right side, we need to add the opposite of x to both sides.

So, let's add -x to both sides of the equation:

x - 7 + (-x) = x + (-x)

Simplifying both sides:

-x + x - 7 = 0

The -x and x terms cancel out on the left side:

-7 = 0

This equation is not true since -7 does not equal 0.

Therefore, the given equation x - 7 = x has no solution.