document.write( "Question 213833: x/2=3+(x-30/5)
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Algebra.Com's Answer #161525 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%2F2=3%2B%28x-30%2F5%29\"$ \r
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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=6.
Graphical form: Equation $\"x%2F2=3%2B%28x-30%2F5%29\"$ was fully solved.
Text form: x/2=3+(x-30/5) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+x%2F2=3%2B%28x-30%2F5%29+%29\"$
For tutors: simplify_cartoon( x/2=3+(x-30/5) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"x%2F2=3%2Bhighlight_red%28+%28x-30%2F5%29+%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+-30%2F5+%29\"$
It becomes $\"x%2F2=3%2Bhighlight_green%28+x+%29-highlight_green%28+30%2F5+%29\"$ .
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Look at $\"x%2F2=3%2Bx-highlight_red%28+30+%29%2Fhighlight_red%28+5+%29\"$ .
Factors 30 and 5 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes $\"x%2F2=3%2Bx-highlight_green%28+6+%29%2Fhighlight_green%28+1+%29\"$ .
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Look at $\"x%2F2=highlight_red%28+3+%29%2Bx-highlight_red%28+6%2F1+%29\"$ .
Added fractions or integers together
It becomes $\"x%2F2=highlight_green%28+-3+%29%2Bx\"$ .
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Look at $\"x%2F2=highlight_red%28+-3+%29%2Bx\"$ .
Moved $\"-3\"$ to the right of expression
It becomes $\"x%2F2=x%2Bhighlight_green%28+-3+%29\"$ .
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Look at $\"x%2F2=x%2Bhighlight_red%28+-3+%29\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"x%2F2=x-highlight_green%28+3+%29\"$ .
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Look at $\"x%2F2=highlight_red%28+x-3+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+3+%29\"$
It becomes $\"x%2F2-highlight_green%28+x+%29%2Bhighlight_green%28+3+%29=0\"$ .
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Look at $\"highlight_red%28+x%2F2+%29-highlight_red%28+x+%29%2B3=0\"$ .
Eliminated similar terms $\"highlight_red%28+x%2F2+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%281%2F2-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2F2-1%29%2Ax+%29%2B3=0\"$ .
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Look at $\"%28highlight_red%28+1%2F2+%29-highlight_red%28+1+%29%29%2Ax%2B3=0\"$ .
Added fractions or integers together
It becomes $\"%28-highlight_green%28+1%2F2+%29%29%2Ax%2B3=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+1%2F2+%29%29%2Ax+%29%2B3=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$ , $\"highlight_red%28+1%2F2+%29\"$
It becomes $\"-highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Ax%2B3=0\"$ .
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Look at $\"-highlight_red%28+1+%29%2F2%2Ax%2B3=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-x%2F2%2B3=0\"$ .
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Look at $\"highlight_red%28+-x%2F2%2B3+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-x%2F2%2B3=0+%29\"$ equivalent to -0.5*x+3 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=6.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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