SOLUTION: Please help me solve this equation: 5/6x-7/12=2x+1 /3

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Question 21960: Please help me solve this equation: 5/6x-7/12=2x+1 /3
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-0.785714285714286.
  • Graphical form: Equation %285%2F6%29%2Ax-7%2F12=2x%2B1%2F3 was fully solved.
  • Text form: (5/6)*x-7/12=2x+1/3 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%285%2F6%29%2Ax-7%2F12=2x%2B1%2F3+%29
    For tutors: simplify_cartoon( (5/6)*x-7/12=2x+1/3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+5%2F6+%29%29%2Ax+%29-7%2F12=2x%2B1%2F3.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F6+%29
It becomes highlight_green%28+5+%29%2Fhighlight_green%28+6+%29%2Ax-7%2F12=2x%2B1%2F3.
Look at 5%2F6%2Ax-7%2F12=highlight_red%28+2%2Ax%2B1%2F3+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-1%2F3+%29
It becomes 5%2F6%2Ax-7%2F12-highlight_green%28+2%2Ax+%29-highlight_green%28+1%2F3+%29=0.
Look at 5%2F6%2Ax-highlight_red%28+7%2F12+%29-2%2Ax-highlight_red%28+1%2F3+%29=0.
Added fractions or integers together
It becomes 5%2F6%2Ax-highlight_green%28+11%2F12+%29-2%2Ax=0.
Look at 5%2F6%2Ax-highlight_red%28+11%2F12+%29-2%2Ax=0.
Moved -11%2F12 to the right of expression
It becomes 5%2F6%2Ax-2%2Ax-highlight_green%28+11%2F12+%29=0.
Look at highlight_red%28+5%2F6%2Ax+%29-highlight_red%28+2%2Ax+%29-11%2F12=0.
Eliminated similar terms highlight_red%28+5%2F6%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%285%2A1%2F6-2%29%2Ax+%29
It becomes highlight_green%28+%285%2A1%2F6-2%29%2Ax+%29-11%2F12=0.
Look at %28highlight_red%28+5+%29%2Ahighlight_red%28+1+%29%2F6-2%29%2Ax-11%2F12=0.
Multiplied numerator integers
It becomes %28highlight_green%28+5+%29%2F6-2%29%2Ax-11%2F12=0.
Look at %28highlight_red%28+5%2F6+%29-highlight_red%28+2+%29%29%2Ax-11%2F12=0.
Added fractions or integers together
It becomes %28-highlight_green%28+7%2F6+%29%29%2Ax-11%2F12=0.
Look at highlight_red%28+%28-highlight_red%28+7%2F6+%29%29%2Ax+%29-11%2F12=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29,highlight_red%28+1%2F6+%29
It becomes -highlight_green%28+7+%29%2Fhighlight_green%28+6+%29%2Ax-11%2F12=0.
Look at highlight_red%28+-7%2F6%2Ax-11%2F12+%29=0.
Solved linear equation highlight_red%28+-7%2F6%2Ax-11%2F12=0+%29 equivalent to -1.16666666666667*x-0.916666666666667 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-0.785714285714286.

Universal Simplifier and Solver


Done!

Hope this helps!