document.write( "Question 212966: 1x+.5+3x-2=3x+1.5 \n" ); document.write( "

Algebra.Com's Answer #160882 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
1x+.5+3x-2=3x+1.5\r
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\n" ); document.write( "\n" ); document.write( "The following steps will solve and simplifier the above equation\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=3.
Graphical form: Equation $\"1x%2B.5%2B3x-2=3x%2B1.5\"$ was fully solved.
Text form: 1x+.5+3x-2=3x+1.5 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+1x%2B.5%2B3x-2=3x%2B1.5+%29\"$
For tutors: simplify_cartoon( 1x+.5+3x-2=3x+1.5 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+1+%29%2Ax%2B.5%2B3%2Ax-2=3x%2B1.5\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"x%2B.5%2B3%2Ax-2=3x%2B1.5\"$ .
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Look at $\"x%2Bhighlight_red%28+.5+%29%2B3%2Ax-highlight_red%28+2+%29=3x%2B1.5\"$ .
Replace constants in expression: $\"highlight_red%28+.5+%29\"$ , $\"highlight_red%28+-2+%29\"$ with $\"highlight_green%28+-1.5+%29\"$
It becomes $\"highlight_green%28+-1.5+%29%2Bx%2B3%2Ax=3x%2B1.5\"$ .
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Look at $\"highlight_red%28+-1.5+%29%2Bx%2B3%2Ax=3x%2B1.5\"$ .
Moved $\"-1.5\"$ to the right of expression
It becomes $\"x%2B3%2Ax%2Bhighlight_green%28+-1.5+%29=3x%2B1.5\"$ .
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Look at $\"x%2B3%2Ax%2Bhighlight_red%28+-1.5+%29=3x%2B1.5\"$ .
Removed extra sign in front of $\"-1.5\"$
It becomes $\"x%2B3%2Ax-highlight_green%28+1.5+%29=3x%2B1.5\"$ .
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Look at $\"highlight_red%28+x+%29%2Bhighlight_red%28+3%2Ax+%29-1.5=3x%2B1.5\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+3%2Ax+%29\"$ replacing them with $\"highlight_green%28+%281%2B3%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2B3%29%2Ax+%29-1.5=3x%2B1.5\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+3+%29%29%2Ax-1.5=3x%2B1.5\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+4+%29%29%2Ax-1.5=3x%2B1.5\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29-1.5=3x%2B1.5\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"highlight_green%28+4+%29%2Ax-1.5=3x%2B1.5\"$ .
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Look at $\"4%2Ax-1.5=highlight_red%28+3%2Ax%2B1.5+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-3%2Ax+%29\"$ , $\"highlight_green%28+-1.5+%29\"$
It becomes $\"4%2Ax-1.5-highlight_green%28+3%2Ax+%29-highlight_green%28+1.5+%29=0\"$ .
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Look at $\"4%2Ax-highlight_red%28+1.5+%29-3%2Ax-highlight_red%28+1.5+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2Ax-highlight_green%28+30%2F10+%29-3%2Ax=0\"$ .
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Look at $\"4%2Ax-highlight_red%28+30%2F10+%29-3%2Ax=0\"$ .
Moved $\"-30%2F10\"$ to the right of expression
It becomes $\"4%2Ax-3%2Ax-highlight_green%28+30%2F10+%29=0\"$ .
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Look at $\"4%2Ax-3%2Ax-highlight_red%28+30+%29%2Fhighlight_red%28+10+%29=0\"$ .
Factors 30 and 10 have greatest common factor (GCF) of 10. Reducing fraction.
It becomes $\"4%2Ax-3%2Ax-highlight_green%28+3+%29%2Fhighlight_green%28+1+%29=0\"$ .
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Look at $\"4%2Ax-3%2Ax-3%2Fhighlight_red%28+1+%29=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1%2F1+%29\"$
It becomes $\"4%2Ax-3%2Ax-3=0\"$ .
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Look at $\"highlight_red%28+4%2Ax+%29-highlight_red%28+3%2Ax+%29-3=0\"$ .
Eliminated similar terms $\"highlight_red%28+4%2Ax+%29\"$ , $\"highlight_red%28+-3%2Ax+%29\"$ replacing them with $\"highlight_green%28+%284-3%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%284-3%29%2Ax+%29-3=0\"$ .
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Look at $\"highlight_red%28+%284-3%29+%29%2Ax-3=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+%284-3%29+%29\"$
It becomes $\"x-3=0\"$ .
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Look at $\"highlight_red%28+x-3+%29=0\"$ .
Solved linear equation $\"highlight_red%28+x-3=0+%29\"$ equivalent to x-3 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=3.

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( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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