Shawnece is solving the equation x7 − 4 = −6 . One of her steps is to multiply both sides of the equation by 7. Why? Explain how???????/

Answer 1

Shawnece is multiplying both sides of the equation by 7 in order to isolate the variable x on one side of the equation.

When she multiplies both sides by 7, the equation becomes:

7(x7) - 28 = -42

This simplifies to:

7x - 28 = -42

Now she can continue solving for x by adding 28 to both sides:

7x - 28 + 28 = -42 + 28

Which simplifies to:

7x = -14

Finally, she can solve for x by dividing both sides of the equation by 7:

7x / 7 = -14 / 7
x = -2

So, by multiplying both sides of the equation by 7, Shawnece was able to isolate and solve for the variable x.

Answer 2

shorter but explain how?

Answer 3

Shawnece multiplies both sides of the equation by 7 to eliminate the coefficient 7 in front of the variable x. This simplifies the equation and makes it easier to isolate and solve for x.