document.write( "Question 1195132: I am trying to figure out how to solve this math equation:\r
\n" ); document.write( "\n" ); document.write( "4x - (3x + 5) = -2\r
\n" ); document.write( "\n" ); document.write( "It was stated that the solution set is 3.
\n" ); document.write( "I need to know the steps to solving this problem. \n" ); document.write( "
Algebra.Com's Answer #827501 by Shin123(626)\"\" \"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=3.
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  • Graphical form: Equation \"4x-%283x%2B5%29=-2\" was fully solved.
  • Text form: 4x-(3x+5)=-2 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+4x-%283x%2B5%29=-2+%29\"
    For tutors: simplify_cartoon( 4x-(3x+5)=-2 )
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  • 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+%283%2Ax%2B5%29+%29=-2\".
Remove unneeded parentheses around terms \"highlight_red%28+-3%2Ax+%29\",\"highlight_red%28+-5+%29\"
It becomes \"4%2Ax-highlight_green%28+3%2Ax+%29-highlight_green%28+5+%29=-2\".
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Look at \"highlight_red%28+4%2Ax+%29-highlight_red%28+3%2Ax+%29-5=-2\".
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+%29-5=-2\".
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Look at \"highlight_red%28+%284-3%29+%29%2Ax-5=-2\".
Remove extraneous '1' from product \"highlight_red%28+%284-3%29+%29\"
It becomes \"x-5=-2\".
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Look at \"x-5=highlight_red%28+-2+%29\".
Moved these terms to the left \"highlight_green%28+2+%29\"
It becomes \"x-5%2Bhighlight_green%28+2+%29=0\".
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Look at \"x-highlight_red%28+5+%29%2Bhighlight_red%28+2+%29=0\".
Added fractions or integers together
It becomes \"x%2Bhighlight_green%28+-3+%29=0\".
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Look at \"x%2Bhighlight_red%28+-3+%29=0\".
Removed extra sign in front of \"-3\"
It becomes \"x-highlight_green%28+3+%29=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\"
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Universal Simplifier and Solver

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Done!
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