Question

PLEASE HELP

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following equation. Then place the correct number in the box provided.


4 - 7x + 10 = 15 - 6x - 8


(x is already in the first box and the = sign is in the second box)

Answer 1

x = 7

Explanation:

It can make things simpler to start by collecting terms. Here, that means adding up the constants on each side of the equal sign:

-7x + 14 = -6x +7

Now, find the x-term with the most negative coefficient and add its opposite to the equation.

-7x +7x +14 = -6x +7x +7

14 = x + 7

Finally, add the opposite of the constant that is on the right.

14 -7 = x +7 -7

7 = x