document.write( "Question 218119: -2x=1/2(-6-4x)+3\r
\n" ); document.write( "\n" ); document.write( "I got x=0 but an algebra software I have got no solution.
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Algebra.Com's Answer #164299 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-2x=%28-6-4x%29%2F2%2B3\"$ \r
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\n" ); document.write( "\n" ); document.write( "Step 1. Multiply 2 to both sides of the equation to get rid of denominator\r
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\n" ); document.write( "\n" ); document.write( " $\"2%28-2x%29=2%2A%28-6-4x%29%2F2%2B2%2A3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"-4x=%28-6-4x%29%2B6\"$ \r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: Equation $\"-4x=%28-6-4x%29%2B6\"$ was fully solved.
Text form: -4x=(-6-4x)+6 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+-4x=%28-6-4x%29%2B6+%29\"$
For tutors: simplify_cartoon( -4x=(-6-4x)+6 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"-4%2Ax=highlight_red%28+%28-6-4%2Ax%29+%29%2B6\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-6+%29\"$ , $\"highlight_red%28+-4%2Ax+%29\"$
It becomes $\"-4%2Ax=-highlight_green%28+6+%29-highlight_green%28+4%2Ax+%29%2B6\"$ .
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Look at $\"-4%2Ax=-highlight_red%28+6+%29-4%2Ax%2Bhighlight_red%28+6+%29\"$ .
Added fractions or integers together
It becomes $\"-4%2Ax=highlight_green%28+0+%29-4%2Ax\"$ .
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Look at $\"-4%2Ax=highlight_red%28+0+%29-4%2Ax\"$ .
Moved $\"0\"$ to the right of expression
It becomes $\"-4%2Ax=-4%2Ax%2Bhighlight_green%28+0+%29\"$ .
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Look at $\"-4%2Ax=-4%2Ax%2Bhighlight_red%28+0+%29\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"-4%2Ax=-4%2Ax\"$ .
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Look at $\"-4%2Ax=highlight_red%28+-4%2Ax+%29\"$ .
Moved these terms to the left $\"highlight_green%28+4%2Ax+%29\"$
It becomes $\"-4%2Ax%2Bhighlight_green%28+4%2Ax+%29=0\"$ .
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Look at $\"-highlight_red%28+4%2Ax+%29%2Bhighlight_red%28+4%2Ax+%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+-4%2Ax+%29\"$ , $\"highlight_red%28+4%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-4%2B4%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-4%2B4%29%2Ax+%29=0\"$ .
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Look at $\"highlight_red%28+%28-4%2B4%29%2Ax+%29=0\"$ .
Since $\"highlight_red%28+%28-4%2B4%29%2Ax+%29\"$ has zero as a factor, it should be replaced with a zero
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Look at $\"0=0\"$ .
Added fractions or integers together
It becomes $\"0=0\"$ .
Result: $\"0=0\"$
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Step 2. Since you 0=0, then any x will solve the above equation.\r
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\n" ); document.write( "\n" ); document.write( "Say x=5, then -4*5=(-6+(-4*5)+6 is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Say x=0, then 0=0 is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. ANSWER: There are an infinite number of solutions to x.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r
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\n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV\r
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