## Panda223RulerZ 3 years ago - 1/2 x + 2 = x + 7 I still dont understand how to do it

1. SchoolSlacker

how to do what?

2. SchoolSlacker

whats the question?

3. Panda223RulerZ

- 1/2 x + 2 = x + 7

4. robert1

x==-10/3

5. Panda223RulerZ

How did you get to that answer?

6. Panda223RulerZ

I want to learn it, not just get answers haha

Follow the "golden rule" of algebra. Thou shalt do to one side of the equal sign as thou do to the other side.

In this case subtract x. You now have -1.5x + 2 = 7 Do you see why?

9. Panda223RulerZ

Yeah

Continuing, now subtract 2. You now have: -1.5x= 5 Again did you follow?

11. jiteshmeghwal9

$\Huge{\frac{1}{2}x+2=x+7}$$\Huge{\frac{x+2}{2}=\frac{x+7}{1}}$By cross multiplication we have,$\Huge{(x+2)=2(x+7)}$Solve this for $$x$$.

12. Panda223RulerZ

Yes

I think you are on track. We only now have to do is divide by -1.5 We now have x = -(5/1.5) Using calculator divide 5 by 1.5 and prefix the minus sign.

14. jiteshmeghwal9

|dw:1352384148089:dw|

This gives an odd ball answer of 3.33333

16. jiteshmeghwal9

After getting the value u just need t put minus before the digit :)

or I should say -3.333 but it needs to be checked out by substituting it in the original problem to be sure we have not erred. To err is human.

The original equation was: - 1/2 x + 2 = x + 7 lets call the answer -3 1/3 and substitute it in the original. we would have: -1/2 (-3 1/3) +2 = -3 1/3 + 7 (-1/2)(-10/3) + 2= 3 2/3 10/6 + 2 = 3 2/3 5/3 + 2 = 3 2/3 3 2/3 = 3 2/3 verified!

Did following that help, just remember the golden rule and you won't unbalance the equation. When you unbalance the equation it will result in an incorrect answer.

This is my input for this morning. Good luck with your studies.

21. Panda223RulerZ

Thank you so much, and thank you for serving in the Army(:

No problem and as I saId good luck with your studies. Don't be discouraged when faced with a difficult problem, accept the challenge and try and solve.