SOLUTION: 3/5x-2=6+1/4x

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Question 22765: 3/5x-2=6+1/4x
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=22.8571428571429.
  • Graphical form: Equation %283%2F5%29%2Ax-2=6%2B%281%2F4%29%2Ax was fully solved.
  • Text form: (3/5)*x-2=6+(1/4)*x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%283%2F5%29%2Ax-2=6%2B%281%2F4%29%2Ax+%29
    For tutors: simplify_cartoon( (3/5)*x-2=6+(1/4)*x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+3%2F5+%29%29%2Ax+%29-2=6%2B%281%2F4%29%2Ax.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+1%2F5+%29
It becomes highlight_green%28+3+%29%2Fhighlight_green%28+5+%29%2Ax-2=6%2B%281%2F4%29%2Ax.
Look at 3%2F5%2Ax-2=6%2Bhighlight_red%28+%28highlight_red%28+1%2F4+%29%29%2Ax+%29.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F4+%29
It becomes 3%2F5%2Ax-2=6%2Bhighlight_green%28+1+%29%2Fhighlight_green%28+4+%29%2Ax.
Look at 3%2F5%2Ax-2=6%2Bhighlight_red%28+1+%29%2F4%2Ax.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes 3%2F5%2Ax-2=6%2Bx%2F4.
Look at 3%2F5%2Ax-2=highlight_red%28+6+%29%2Bx%2F4.
Moved 6 to the right of expression
It becomes 3%2F5%2Ax-2=x%2F4%2Bhighlight_green%28+6+%29.
Look at 3%2F5%2Ax-2=highlight_red%28+x%2F4%2B6+%29.
Moved these terms to the left highlight_green%28+-x%2F4+%29,highlight_green%28+-6+%29
It becomes 3%2F5%2Ax-2-highlight_green%28+x%2F4+%29-highlight_green%28+6+%29=0.
Look at 3%2F5%2Ax-highlight_red%28+2+%29-x%2F4-highlight_red%28+6+%29=0.
Added fractions or integers together
It becomes 3%2F5%2Ax%2Bhighlight_green%28+-8+%29-x%2F4=0.
Look at 3%2F5%2Ax%2Bhighlight_red%28+-8+%29-x%2F4=0.
Moved -8 to the right of expression
It becomes 3%2F5%2Ax-x%2F4%2Bhighlight_green%28+-8+%29=0.
Look at 3%2F5%2Ax-x%2F4%2Bhighlight_red%28+-8+%29=0.
Removed extra sign in front of -8
It becomes 3%2F5%2Ax-x%2F4-highlight_green%28+8+%29=0.
Look at highlight_red%28+3%2F5%2Ax+%29-highlight_red%28+x%2F4+%29-8=0.
Eliminated similar terms highlight_red%28+3%2F5%2Ax+%29,highlight_red%28+-x%2F4+%29 replacing them with highlight_green%28+%283%2A1%2F5-1%2F4%29%2Ax+%29
It becomes highlight_green%28+%283%2A1%2F5-1%2F4%29%2Ax+%29-8=0.
Look at %28highlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2F5-1%2F4%29%2Ax-8=0.
Multiplied numerator integers
It becomes %28highlight_green%28+3+%29%2F5-1%2F4%29%2Ax-8=0.
Look at %28highlight_red%28+3%2F5+%29-highlight_red%28+1%2F4+%29%29%2Ax-8=0.
Added fractions or integers together
It becomes %28highlight_green%28+7%2F20+%29%29%2Ax-8=0.
Look at highlight_red%28+%28highlight_red%28+7%2F20+%29%29%2Ax+%29-8=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29,highlight_red%28+1%2F20+%29
It becomes highlight_green%28+7+%29%2Fhighlight_green%28+20+%29%2Ax-8=0.
Look at highlight_red%28+7%2F20%2Ax-8+%29=0.
Solved linear equation highlight_red%28+7%2F20%2Ax-8=0+%29 equivalent to 0.35*x-8 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=22.8571428571429.

Universal Simplifier and Solver


Done!

Hope this helps!