SOLUTION: The equation is: 3 times a number, minus 6, is equal to two times the number, plus 8 - find the number. Please help me solve this equation {{{ 3x-6=2x+8 }}} I have tried the f

Algebra ->  Equations -> SOLUTION: The equation is: 3 times a number, minus 6, is equal to two times the number, plus 8 - find the number. Please help me solve this equation {{{ 3x-6=2x+8 }}} I have tried the f      Log On


   



Question 882949: The equation is: 3 times a number, minus 6, is equal to two times the number, plus 8 - find the number. Please help me solve this equation +3x-6=2x%2B8+
I have tried the following: 3x-6=2x+8; (+6) from both sides = 3x=2x+14; then (-14 to each side) = 3x=2x - it seems impossible - the answer is 14 but I cannot make it work

Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
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Good job; you are on the right track! Your equation, 3x - 6 = 2x + 8, is correct. Now simplify like this:
+6 to both sides: 3x = 2x + 14
-2x to both sides: x = 14
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Your error came when you tried to subtract 14; you said you were doing it from both sides, but you really only did it to the right side. If you are at 3x = 2x + 14 and you subtract 14 from both sides, you would get 3x - 14 = 2x, not 3x = 2x.
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I hope this helps! Let me know if you need any further clarification. =)