Answer:
See below:
Step-by-step explanation:
Hello my name is Galaxy and I will be helping you today! I hope you are having a nice day!
We can solve this in two steps, one being Algebra and the second being Answer/Checking our answer. I'll start off with Algebra.
Algebra
We can start to solve this problem by using Algebra and simplifying it down. We can also use the distributive property to solve the problem by using the proof it shows. The distributive property states that we can multiply whats inside the paranthesis by the number on the outside and get the same answer.
We can prove it by doing this:
[tex]2(1+4)=(2*1)+(2*4)?\\2+8=2+8?\\10=10[/tex]
Now that we have the tools we need to begin solving.
Solving
We can start to solve it by simplifying the equation from its distributive state. We can do that by doing the following:
[tex]-3(x-2)=12\\-3x+6=12\\[/tex]
Now that we've simplified, we can begin solving it.
[tex]-3x+6=12\\-3x=12-6\\-3x=6\\x=6 \div -3\\x=-2[/tex]
We have gotten our answer of x being -2. We can now double check our answers.
[tex]-3(-2-2)=12?\\(-3*-2)+(-3*-2)=12?\\6+6=12?\\12=12[/tex]
Remember that if we multiply two negatives it is a positive!
Cheers!
