document.write( "Question 635256: how do you solve this -3(2x-1)=x+10 \n" ); document.write( "
Algebra.Com's Answer #400194 by asuar010(338)\"\" \"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=-1.
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  • Graphical form: Equation \"-3%2A%282x-1%29=x%2B10\" was fully solved.
  • Text form: -3*(2x-1)=x+10 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+-3%2A%282x-1%29=x%2B10+%29\"
    For tutors: simplify_cartoon( -3*(2x-1)=x+10 )
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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 \"-3%2A%282%2Ax-1%29=highlight_red%28+x%2B10+%29\".
Moved these terms to the left \"highlight_green%28+-x+%29\",\"highlight_green%28+-10+%29\"
It becomes \"-3%2A%282%2Ax-1%29-highlight_green%28+x+%29-highlight_green%28+10+%29=0\".
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Look at \"-highlight_red%28+3%2A%282%2Ax-1%29+%29-x-10=0\".
Expanded term \"-3\" by using associative property on \"%282%2Ax-1%29\"
It becomes \"-highlight_green%28+3%2A2%2Ax+%29%2Bhighlight_green%28+3%2A1+%29-x-10=0\".
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Look at \"-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ax%2B3%2A1-x-10=0\".
Multiplied numerator integers
It becomes \"-highlight_green%28+6+%29%2Ax%2B3%2A1-x-10=0\".
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Look at \"-6%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+1+%29-x-10=0\".
Multiplied numerator integers
It becomes \"-6%2Ax%2Bhighlight_green%28+3+%29-x-10=0\".
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Look at \"-6%2Ax%2Bhighlight_red%28+3+%29-x-highlight_red%28+10+%29=0\".
Added fractions or integers together
It becomes \"-6%2Ax%2Bhighlight_green%28+-7+%29-x=0\".
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Look at \"-6%2Ax%2Bhighlight_red%28+-7+%29-x=0\".
Moved \"-7\" to the right of expression
It becomes \"-6%2Ax-x%2Bhighlight_green%28+-7+%29=0\".
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Look at \"-6%2Ax-x%2Bhighlight_red%28+-7+%29=0\".
Removed extra sign in front of \"-7\"
It becomes \"-6%2Ax-x-highlight_green%28+7+%29=0\".
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Look at \"-highlight_red%28+6%2Ax+%29-highlight_red%28+x+%29-7=0\".
Eliminated similar terms \"highlight_red%28+-6%2Ax+%29\",\"highlight_red%28+-x+%29\" replacing them with \"highlight_green%28+%28-6-1%29%2Ax+%29\"
It becomes \"highlight_green%28+%28-6-1%29%2Ax+%29-7=0\".
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Look at \"%28-highlight_red%28+6+%29-highlight_red%28+1+%29%29%2Ax-7=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-7+%29%29%2Ax-7=0\".
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Look at \"%28highlight_red%28+-7+%29%29%2Ax-7=0\".
Removed extra sign in front of \"-7\"
It becomes \"%28-highlight_green%28+7+%29%29%2Ax-7=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+7+%29%29%2Ax+%29-7=0\".
Remove unneeded parentheses around factor \"highlight_red%28+7+%29\"
It becomes \"-highlight_green%28+7+%29%2Ax-7=0\".
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Look at \"highlight_red%28+-7%2Ax-7+%29=0\".
Solved linear equation \"highlight_red%28+-7%2Ax-7=0+%29\" equivalent to -7*x-7 =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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