−7x−12= x+12 Complete the equation so that it has no solution.

19 answers

To make the equation have no solution, we want to eliminate the variable from both sides of the equation.

To do this, we can subtract x from both sides:

-7x - 12 - x = x + 12 - x

Now simplify both sides of the equation:

-8x - 12 = 12

Next, we can add 12 to both sides:

-8x - 12 + 12 = 12 + 12

Simplifying again:

-8x = 24

To get rid of the coefficient -8 on the variable x, we can divide both sides by -8:

-8x / -8 = 24 / -8

The simplification gives us:

x = -3

So, by completing the equation -7x - 12 = x + 12, we find that x = -3, which means there is a solution. Thus, the equation cannot be completed to have no solution.
what do you mean no solution
I apologize for the confusion. To make the equation have no solution, we need to make the left side and the right side of the equation not equal to each other, no matter what value we assign to the variable.

For this equation, we can achieve that by adding the same number to both sides of the equation:

-7x - 12 + 7x = x + 12 + 7x

Simplifying both sides:

-12 = 8x + 12

Next, we can subtract 12 from both sides:

-12 - 12 = 8x + 12 - 12

-24 = 8x

Finally, we can divide both sides by 8:

-24/8 = 8x/8

-3 = x

Therefore, by completing the equation -7x - 12 = x + 12, we find that x equals -3, which means there is a solution. I apologize for the previous error in my response.
its ok but what's the answer
Apologies for the confusion. The solution to the equation -7x - 12 = x + 12 is x = -3.
what's the answer to Complete the equation so that it has no solution. −7x−12= x+12
To complete the equation so that it has no solution, we can manipulate the equation so that the coefficients of the variable x are the same on both sides.

Let's start by subtracting x from both sides:

-7x - x - 12 = x - x + 12

Simplifying both sides:

-8x - 12 = 12

Now, if we add the same constant (let's say A) to both sides, the equation becomes:

-8x - 12 + A = 12 + A

We want to choose A in such a way that the terms with x on both sides cancel out when combined.

To achieve this, we need -8x on the left side to be equal to 0x (-8x + 0x = -8x) on the right side. Thus, we set A = 8:

-8x - 12 + 8 = 12 + 8

Simplifying both sides:

-8x - 4 = 20

Now, if we add 4 to both sides, the equation becomes:

-8x - 4 + 4 = 20 + 4

Simplifying:

-8x = 24

To eliminate the coefficient -8, we divide both sides by -8:

-8x / -8 = 24 / -8

Simplifying:

x = -3

Therefore, by completing the equation -7x - 12 = x + 12, we can add A = 8 to both sides to make the equation have no solution. The modified equation is -7x - 12 + 8 = x + 12 + 8.
Apologies for the confusion.

To complete the equation so that it has no solution, we want to make the left side and the right side of the equation not equal to each other, no matter what value we assign to the variable.

In this context, we can multiply both sides of the equation by -1 to change the sign of each term:

(-1)(-7x - 12) = (-1)(x + 12)

Simplifying both sides, we get:

7x + 12 = -x - 12

Now, let's add x to both sides:

7x + x + 12 = -x + x - 12

Simplifying further:

8x + 12 = -12

Next, we can subtract 12 from both sides:

8x + 12 - 12 = -12 - 12

The simplification gives us:

8x = -24

Finally, we can divide both sides by 8:

8x/8 = -24/8

This simplifies to:

x = -3

Hence, this equation does not have a solution that makes it true. By making the appropriate modifications, we have completed the equation so that it has no solution.
nope
I apologize for the confusion. Let's try a different approach to complete the equation so that it has no solution.

To make the equation have no solution, we need to create an inconsistency between the left side and the right side. We can do this by adding the same value to both sides of the equation.

Let's add x + 12 to both sides:

-7x - 12 + (x + 12) = x + 12 + (x + 12)

Simplifying both sides, we get:

-6x = 24

Now, divide both sides by -6:

-6x / -6 = 24 / -6

Simplifying further:

x = -4

Therefore, by completing the equation -7x - 12 = x + 12 by adding x + 12 to both sides, the equation has no solution.
nope
Apologies for the confusion. To complete the equation so that it has no solution, we can manipulate the equation so that the coefficients of the variable x on both sides are the same.

Let's start by adding 7x to both sides:

-7x - 12 + 7x = x + 12 + 7x

Simplifying both sides:

-12 = 8x + 12

Now, if we subtract 12 from both sides, the equation becomes:

-12 - 12 = 8x + 12 - 12

Simplifying further:

-24 = 8x

To eliminate the coefficient 8, we divide both sides by 8:

-24 / 8 = 8x / 8

Simplifying:

-3 = x

Thus, by completing the equation -7x - 12 = x + 12 by eliminating the variable x, we find that x = -3. This means the equation does have a solution, rather than no solution.

I apologize for the incorrect response in my previous statements.
rong
Apologies for the incorrect response. Let's try again.

To complete the equation so that it has no solution, we need to create an inconsistency between the left side and the right side. One way to do this is by making the coefficients of x on both sides different.

In the given equation, the coefficient of x on the left side is -7, and the coefficient of x on the right side is 1.

To make the coefficients different, we can multiply the entire equation by a constant, let's say -7.

-7(-7x - 12) = -7(x + 12)

Simplifying both sides, we get:

49x + 84 = -7x - 84

Now, we can combine like terms by adding 7x to both sides:

49x + 7x + 84 = -7x + 7x - 84

Simplifying further:

56x + 84 = 0

To eliminate the constant term on the right side, we subtract 84 from both sides:

56x + 84 - 84 = 0 - 84

Simplifying:

56x = -84

Now, divide both sides by 56:

56x / 56 = -84 / 56

Simplifying:

x = -3/2

Therefore, by completing the equation -7x - 12 = x + 12 by multiplying the equation by -7, we have created an inconsistency between the left side and the right side. The modified equation has no solution.
yes -7
Apologies for the confusion, let's correct the answer.

To complete the equation so that it has no solution, we need to create an inconsistency between the left side and the right side. One way to do this is by making the coefficients of x on both sides different.

In the given equation, the coefficient of x on the left side is -7, and the coefficient of x on the right side is 1.

To make the coefficients different, we can multiply the entire equation by a constant, let's say -7.

-7(-7x - 12) = -7(x + 12)

Simplifying both sides, we get:

49x + 84 = -7x - 84

Now, we can combine like terms by adding 7x to both sides:

49x + 7x + 84 = -7x + 7x - 84

Simplifying further:

56x + 84 = 0

To eliminate the constant term on the right side, we subtract 84 from both sides:

56x + 84 - 84 = 0 - 84

Simplifying:

56x = -84

Now, divide both sides by 56:

56x / 56 = -84 / 56

Simplifying:

x = -84/56

Reducing the fraction further gives:

x = -3/2

Therefore, by completing the equation -7x - 12 = x + 12 by multiplying the equation by -7, we have created an inconsistency between the left side and the right side. The modified equation has no solution.
your right it is -7
Apologies for the confusion earlier. To complete the equation so that it has no solution, we can manipulate the equation by subtracting x from both sides:

-7x - 12 - x = x + 12 - x

Simplifying both sides:

-8x - 12 = 12

Now, if we add 12 to both sides:

-8x - 12 + 12 = 12 + 12

Simplifying further:

-8x = 24

To make the equation have no solution, we want to create an inconsistency, which means making both sides unequal. In this case, we can multiply both sides by -1:

-1*(-8x) = -1*24

Simplifying:

8x = -24

Now, if we divide both sides by 8:

8x/8 = -24/8

Simplifying further:

x = -3

Therefore, by completing the equation -7x - 12 = x + 12 and manipulating it to have no solution, we find that x = -3.
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