SOLUTION: 5x+8=3x-4= I think I got the right answer on the test. I wrote 6 as the answer but I got it 1/2 wrong because I don't know how to check my answer. I was wondering if you could

Algebra ->  Equations -> SOLUTION: 5x+8=3x-4= I think I got the right answer on the test. I wrote 6 as the answer but I got it 1/2 wrong because I don't know how to check my answer. I was wondering if you could      Log On


   

Question 125973: 5x+8=3x-4= I think I got the right answer on the test. I wrote 6 as the answer but I got it 1/2 wrong because I don't know how to check my answer. I was wondering if you could help me figure out how to check my answer.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%2B8=3x-4 Start with the given equation



5x=3x-4-8Subtract 8 from both sides


5x-3x=-4-8 Subtract 3x from both sides


2x=-4-8 Combine like terms on the left side


2x=-12 Combine like terms on the right side


x=%28-12%29%2F%282%29 Divide both sides by 2 to isolate x



x=-6 Divide

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Answer:
So our answer is x=-6





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Check:



5x%2B8=3x-4 Start with the given equation


5%28-6%29%2B8=3%28-6%29-4 Plug in x=-6. In other words, replace each x with -6


-30%2B8=-18-4 Multiply


-22=-22 Combine like terms. Since the two sides of the equation are equal, this verifies our answer.