Thank you for the opportunity to help you with your question!

All you ever try to do in algebra is to isolate x which means to get it by itself. You want to subtract x from both sides of the equation. The left side has 3x so if you subtract x you are left with 2x. The right side has x so if you subtract x you will get 0.

The equation now looks like this. 2x+6=0-8 which is the same as 2x+6=-8. Now subtract 6 from both sides.

2x+0=-8-6 which is the same as 2x=-14. You can use a calculator to show -8-6=-14. Now divide both sides by 2.

x=-7.

x is now isolated and you have solved. If you want to move a term just add or subtract it to both sides to get a 0 in the place it used to be.

Please let me know if you need any clarification. I'm always happy to answer your questions.

You always do the same thing to both sides. So you either always add to both sides or subtract from both sides. You want to move any terms with x to the left and the numbers to the right. Whether you add or subtract is based on what you are trying to move. If you look at the problem I did you will see I added if I saw a negative sign in front of something I wanted to move. If the term is positive(it wont have a sign or will have a + sign) then you subtract from both sides. So look at the step with the 2x+6=-8. I subtracted 6 from both sides to move the 6 to the right side.

Oct 23rd, 2015

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