document.write( "Question 308606: $\"%284%2F3%2Ax%2B6%29=%287x%2Fx%2B2%29-%281%2F4%2Ax%2B8%29\"$ \n" ); document.write( "

Algebra.Com's Answer #220675 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
I edited your problem to guess what you really meant.
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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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.

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DETAILED EXPLANATION

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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

.
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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

.
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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 $\"4%2F3%2Ax%2B6=7%2Ax%2Fx%2B2-highlight_green%28+1%2F4%2Ax+%29-highlight_green%28+8+%29\"$ .
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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 $\"4%2F3%2Ax%2B6=7%2Ax%2Fx%2B2-x%2F4-8\"$ .
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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 $\"4%2F3%2Ax%2B6=7%2Ax%2Fx%2Bhighlight_green%28+-6+%29-x%2F4\"$ .
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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 $\"4%2F3%2Ax%2B6=7%2B-6-x%2F4\"$ .
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Look at $\"4%2F3%2Ax%2B6=highlight_red%28+7+%29%2B-6-x%2F4\"$ .
Moved $\"7\"$ to the right of expression
It becomes $\"4%2F3%2Ax%2B6=-6-x%2F4%2Bhighlight_green%28+7+%29\"$ .
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Look at $\"4%2F3%2Ax%2B6=highlight_red%28+-6+%29-x%2F4%2B7\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"4%2F3%2Ax%2B6=-highlight_green%28+6+%29-x%2F4%2B7\"$ .
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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 $\"4%2F3%2Ax%2B6=highlight_green%28+1+%29-x%2F4\"$ .
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Look at $\"4%2F3%2Ax%2B6=highlight_red%28+1+%29-x%2F4\"$ .
Moved $\"1\"$ to the right of expression
It becomes $\"4%2F3%2Ax%2B6=-x%2F4%2Bhighlight_green%28+1+%29\"$ .
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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 $\"4%2F3%2Ax%2B6%2Bhighlight_green%28+x%2F4+%29-highlight_green%28+1+%29=0\"$ .
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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 $\"4%2F3%2Ax%2Bhighlight_green%28+5+%29%2Bx%2F4=0\"$ .
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Look at $\"4%2F3%2Ax%2Bhighlight_red%28+5+%29%2Bx%2F4=0\"$ .
Moved $\"5\"$ to the right of expression
It becomes $\"4%2F3%2Ax%2Bx%2F4%2Bhighlight_green%28+5+%29=0\"$ .
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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 $\"highlight_green%28+%284%2A1%2F3%2B1%2F4%29%2Ax+%29%2B5=0\"$ .
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Look at $\"%28highlight_red%28+4+%29%2Ahighlight_red%28+1+%29%2F3%2B1%2F4%29%2Ax%2B5=0\"$ .
Multiplied numerator integers
It becomes $\"%28highlight_green%28+4+%29%2F3%2B1%2F4%29%2Ax%2B5=0\"$ .
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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 $\"%28highlight_green%28+19%2F12+%29%29%2Ax%2B5=0\"$ .
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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 $\"highlight_green%28+19+%29%2Fhighlight_green%28+12+%29%2Ax%2B5=0\"$ .
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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: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-3.15789473684211.

Universal Simplifier and Solver

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Done!

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