SOLUTION: please help me solve this equation: 3x-2=x +8

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Question 12495: please help me solve this equation: 3x-2=x +8
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The idea here is to get the variable, x in this case, to one side of the = and the numbers on the other side using the rules of algebra.
3x+-+2+=+x+%2B+8 Subtract x from both sides.
3x+-+2+-+x+=+x+%2B+8+-+x
2x+-+2+=+8 Now add 2 to both sides.
2x+-+2+%2B+2+=+8+%2B+2
2x+=+10 Finally, divide both sides by 2 because you want x = ??? not 2x = ???
2x%2F2+=+10%2F2
x+=+5
To check the solution, you substitute 5 in place of x (all of them) in the original equation and, if the rwo sides are equal, then the solutionis correct. If not, then it's back to the drawing board.
Check:
3x+-+2+=+x+%2B+8
3%285%29+-+2+=+5+%2B+8
15+-+2+=+13
13+=+13 The solution is correct!