What number should be added to both sides of the equation x - 7 = x to solve for the value of x?
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.
wrong
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.
To solve for the value of x in the equation x - 7 = x, we need to isolate the variable x on one side of the equation.
Step 1: Start by identifying the terms that contain x on each side of the equation. In this case, we have "x" on both sides.
Step 2: To move the x term from one side to the other side, we need to perform an operation that cancels out the term. Since the x term is positive on both sides, we need to eliminate one of them.
Step 3: To eliminate the x term on the right side, we can subtract x from both sides of the equation. This is because subtracting x from x will result in 0, effectively eliminating the x term.
So, the equation becomes:
(x - 7) - x = x - x
Simplifying:
-7 = 0
Step 4: Since -7 does not equal 0, we can conclude that there is no value of x that satisfies the equation x - 7 = x. Hence, there is no number that needs to be added to both sides of the equation to solve for the value of x.