
The sign at the end changes because both sides of the equation are being divided by a negative number.
Answer:
x = 7, x = -10
Step-by-step explanation:

Use the quadratic formula.

Solve.
x = 7, x = -10
You can also factor if you want - that is a faster method.
If A and B are equal:
Matrix A must be a diagonal matrix: FALSE.
We only know that A and B are equal, so they can both be non-diagonal matrices. Here's a counterexample:
![A=B=\left[\begin{array}{cc}1&2\\4&5\\7&8\end{array}\right]](https://tex.z-dn.net/?f=A%3DB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C4%265%5C%5C7%268%5Cend%7Barray%7D%5Cright%5D)
Both matrices must be square: FALSE.
We only know that A and B are equal, so they can both be non-square matrices. The previous counterexample still works
Both matrices must be the same size: TRUE
If A and B are equal, they are literally the same matrix. So, in particular, they also share the size.
For any value of i, j; aij = bij: TRUE
Assuming that there was a small typo in the question, this is also true: two matrices are equal if the correspondent entries are the same.
-2x + 6 + 6x = 6 (2x - 3) <em>this is the equation</em>
-2x + 6 + 6x = 12x - 18 <em>distributive property has been applied</em>
4x + 6 = 12x - 18 <em>like terms have been added</em>
6 = 8x -18 <em>4x has been</em><em> </em><em>subtracted from both sides</em>
24 = 8x <em>-18 has been added to both sides</em>
3 = x <em>8 has been divided from both sides</em>
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I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!
This is your answer
<span>-12 - 5 (first one)
hope that helps
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