SOLUTION: {{{(4/3*x+6)=(7x/x+2)-(1/4*x+8)}}}

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Question 308606: %284%2F3%2Ax%2B6%29=%287x%2Fx%2B2%29-%281%2F4%2Ax%2B8%29
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
I edited your problem to guess what you really meant.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-3.15789473684211.
  • Graphical form: Equation %284%2F3%2Ax%2B6%29=%287x%2Fx%2B2%29-%281%2F4%2Ax%2B8%29 was fully solved.
  • Text form: (4/3*x+6)=(7x/x+2)-(1/4*x+8) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%284%2F3%2Ax%2B6%29=%287x%2Fx%2B2%29-%281%2F4%2Ax%2B8%29+%29
    For tutors: simplify_cartoon( (4/3*x+6)=(7x/x+2)-(1/4*x+8) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%284%2F3%2Ax%2B6%29+%29=%287x%2Fx%2B2%29-%281%2F4%2Ax%2B8%29.
Remove unneeded parentheses around terms highlight_red%28+4%2F3%2Ax+%29,highlight_red%28+6+%29
It becomes .
Look at 4%2F3%2Ax%2B6=highlight_red%28+%287%2Ax%2Fx%2B2%29+%29-%281%2F4%2Ax%2B8%29.
Remove unneeded parentheses around terms highlight_red%28+7%2Ax%2Fx+%29,highlight_red%28+2+%29
It becomes .
Look at 4%2F3%2Ax%2B6=7%2Ax%2Fx%2B2-highlight_red%28+%281%2F4%2Ax%2B8%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-1%2F4%2Ax+%29,highlight_red%28+-8+%29
It becomes 4%2F3%2Ax%2B6=7%2Ax%2Fx%2B2-highlight_green%28+1%2F4%2Ax+%29-highlight_green%28+8+%29.
Look at 4%2F3%2Ax%2B6=7%2Ax%2Fx%2B2-highlight_red%28+1+%29%2F4%2Ax-8.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes 4%2F3%2Ax%2B6=7%2Ax%2Fx%2B2-x%2F4-8.
Look at 4%2F3%2Ax%2B6=7%2Ax%2Fx%2Bhighlight_red%28+2+%29-x%2F4-highlight_red%28+8+%29.
Added fractions or integers together
It becomes 4%2F3%2Ax%2B6=7%2Ax%2Fx%2Bhighlight_green%28+-6+%29-x%2F4.
Look at 4%2F3%2Ax%2B6=7%2Ahighlight_red%28+x+%29%2Fhighlight_red%28+x+%29%2B-6-x%2F4.
Reduce similar several occurrences of highlight_red%28+x+%29 to
It becomes 4%2F3%2Ax%2B6=7%2B-6-x%2F4.
Look at 4%2F3%2Ax%2B6=highlight_red%28+7+%29%2B-6-x%2F4.
Moved 7 to the right of expression
It becomes 4%2F3%2Ax%2B6=-6-x%2F4%2Bhighlight_green%28+7+%29.
Look at 4%2F3%2Ax%2B6=highlight_red%28+-6+%29-x%2F4%2B7.
Removed extra sign in front of -6
It becomes 4%2F3%2Ax%2B6=-highlight_green%28+6+%29-x%2F4%2B7.
Look at 4%2F3%2Ax%2B6=-highlight_red%28+6+%29-x%2F4%2Bhighlight_red%28+7+%29.
Added fractions or integers together
It becomes 4%2F3%2Ax%2B6=highlight_green%28+1+%29-x%2F4.
Look at 4%2F3%2Ax%2B6=highlight_red%28+1+%29-x%2F4.
Moved 1 to the right of expression
It becomes 4%2F3%2Ax%2B6=-x%2F4%2Bhighlight_green%28+1+%29.
Look at 4%2F3%2Ax%2B6=highlight_red%28+-x%2F4%2B1+%29.
Moved these terms to the left highlight_green%28+x%2F4+%29,highlight_green%28+-1+%29
It becomes 4%2F3%2Ax%2B6%2Bhighlight_green%28+x%2F4+%29-highlight_green%28+1+%29=0.
Look at 4%2F3%2Ax%2Bhighlight_red%28+6+%29%2Bx%2F4-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes 4%2F3%2Ax%2Bhighlight_green%28+5+%29%2Bx%2F4=0.
Look at 4%2F3%2Ax%2Bhighlight_red%28+5+%29%2Bx%2F4=0.
Moved 5 to the right of expression
It becomes 4%2F3%2Ax%2Bx%2F4%2Bhighlight_green%28+5+%29=0.
Look at highlight_red%28+4%2F3%2Ax+%29%2Bhighlight_red%28+x%2F4+%29%2B5=0.
Eliminated similar terms highlight_red%28+4%2F3%2Ax+%29,highlight_red%28+x%2F4+%29 replacing them with highlight_green%28+%284%2A1%2F3%2B1%2F4%29%2Ax+%29
It becomes highlight_green%28+%284%2A1%2F3%2B1%2F4%29%2Ax+%29%2B5=0.
Look at %28highlight_red%28+4+%29%2Ahighlight_red%28+1+%29%2F3%2B1%2F4%29%2Ax%2B5=0.
Multiplied numerator integers
It becomes %28highlight_green%28+4+%29%2F3%2B1%2F4%29%2Ax%2B5=0.
Look at %28highlight_red%28+4%2F3+%29%2Bhighlight_red%28+1%2F4+%29%29%2Ax%2B5=0.
Added fractions or integers together
It becomes %28highlight_green%28+19%2F12+%29%29%2Ax%2B5=0.
Look at highlight_red%28+%28highlight_red%28+19%2F12+%29%29%2Ax+%29%2B5=0.
Remove unneeded parentheses around factor highlight_red%28+19+%29,highlight_red%28+1%2F12+%29
It becomes highlight_green%28+19+%29%2Fhighlight_green%28+12+%29%2Ax%2B5=0.
Look at highlight_red%28+19%2F12%2Ax%2B5+%29=0.
Solved linear equation highlight_red%28+19%2F12%2Ax%2B5=0+%29 equivalent to 1.58333333333333*x+5 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-3.15789473684211.

Universal Simplifier and Solver


Done!