document.write( "Question 22765: 3/5x-2=6+1/4x \n" ); document.write( "

Algebra.Com's Answer #11157 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
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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=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.

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DETAILED EXPLANATION

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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 $\"highlight_green%28+3+%29%2Fhighlight_green%28+5+%29%2Ax-2=6%2B%281%2F4%29%2Ax\"$ .
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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 $\"3%2F5%2Ax-2=6%2Bhighlight_green%28+1+%29%2Fhighlight_green%28+4+%29%2Ax\"$ .
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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 $\"3%2F5%2Ax-2=6%2Bx%2F4\"$ .
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Look at $\"3%2F5%2Ax-2=highlight_red%28+6+%29%2Bx%2F4\"$ .
Moved $\"6\"$ to the right of expression
It becomes $\"3%2F5%2Ax-2=x%2F4%2Bhighlight_green%28+6+%29\"$ .
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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 $\"3%2F5%2Ax-2-highlight_green%28+x%2F4+%29-highlight_green%28+6+%29=0\"$ .
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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 $\"3%2F5%2Ax%2Bhighlight_green%28+-8+%29-x%2F4=0\"$ .
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Look at $\"3%2F5%2Ax%2Bhighlight_red%28+-8+%29-x%2F4=0\"$ .
Moved $\"-8\"$ to the right of expression
It becomes $\"3%2F5%2Ax-x%2F4%2Bhighlight_green%28+-8+%29=0\"$ .
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Look at $\"3%2F5%2Ax-x%2F4%2Bhighlight_red%28+-8+%29=0\"$ .
Removed extra sign in front of $\"-8\"$
It becomes $\"3%2F5%2Ax-x%2F4-highlight_green%28+8+%29=0\"$ .
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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 $\"highlight_green%28+%283%2A1%2F5-1%2F4%29%2Ax+%29-8=0\"$ .
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Look at $\"%28highlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2F5-1%2F4%29%2Ax-8=0\"$ .
Multiplied numerator integers
It becomes $\"%28highlight_green%28+3+%29%2F5-1%2F4%29%2Ax-8=0\"$ .
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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 $\"%28highlight_green%28+7%2F20+%29%29%2Ax-8=0\"$ .
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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 $\"highlight_green%28+7+%29%2Fhighlight_green%28+20+%29%2Ax-8=0\"$ .
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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: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=22.8571428571429.

Universal Simplifier and Solver

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Done!

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