document.write( "Question 24243: .10(x+80)+.20x=14 \n" ); document.write( "

Algebra.Com's Answer #12885 by Alwayscheerful(414) $\"\"$ $\"About$

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=20.
Graphical form: Equation $\".10%2A%28x%2B80%29%2B.20x=14\"$ was fully solved.
Text form: .10*(x+80)+.20x=14 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+.10%2A%28x%2B80%29%2B.20x=14+%29\"$
For tutors: simplify_cartoon( .10*(x+80)+.20x=14 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\".10%2A%28x%2B80%29%2B.20%2Ax=highlight_red%28+14+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-14+%29\"$
It becomes $\".10%2A%28x%2B80%29%2B.20%2Ax-highlight_green%28+14+%29=0\"$ .
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Look at $\"highlight_red%28+.10%2A%28x%2B80%29+%29%2B.20%2Ax-14=0\"$ .
Expanded term $\".10\"$ by using associative property on $\"%28x%2B80%29\"$
It becomes $\"highlight_green%28+.10%2Ax+%29%2Bhighlight_green%28+.10%2A80+%29%2B.20%2Ax-14=0\"$ .
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Look at $\".10%2Ax%2Bhighlight_red%28+.10%2A80+%29%2B.20%2Ax-highlight_red%28+14+%29=0\"$ .
Replace constants in expression: $\"highlight_red%28+.10%2A80+%29\"$ , $\"highlight_red%28+-14+%29\"$ with $\"highlight_green%28+-6+%29\"$
It becomes $\"highlight_green%28+-6+%29%2B.10%2Ax%2B.20%2Ax=0\"$ .
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Look at $\"highlight_red%28+-6+%29%2B.10%2Ax%2B.20%2Ax=0\"$ .
Moved $\"-6\"$ to the right of expression
It becomes $\".10%2Ax%2B.20%2Ax%2Bhighlight_green%28+-6+%29=0\"$ .
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Look at $\".10%2Ax%2B.20%2Ax%2Bhighlight_red%28+-6+%29=0\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\".10%2Ax%2B.20%2Ax-highlight_green%28+6+%29=0\"$ .
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Look at $\"highlight_red%28+.10%2Ax+%29%2Bhighlight_red%28+.20%2Ax+%29-6=0\"$ .
Eliminated similar terms $\"highlight_red%28+.10%2Ax+%29\"$ , $\"highlight_red%28+.20%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28.10%2B.20%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28.10%2B.20%29%2Ax+%29-6=0\"$ .
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Look at $\"%28highlight_red%28+.10+%29%2Bhighlight_red%28+.20+%29%29%2Ax-6=0\"$ .
Replace constants in expression: $\"highlight_red%28+.10+%29\"$ , $\"highlight_red%28+.20+%29\"$ with $\"highlight_green%28+0.3+%29\"$
It becomes $\"%28highlight_green%28+0.3+%29%29%2Ax-6=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+0.3+%29%29%2Ax+%29-6=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+0.3+%29\"$
It becomes $\"highlight_green%28+0.3+%29%2Ax-6=0\"$ .
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Look at $\"highlight_red%28+0.3%2Ax-6+%29=0\"$ .
Solved linear equation $\"highlight_red%28+0.3%2Ax-6=0+%29\"$ equivalent to 0.3*x-6 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=20.

Universal Simplifier and Solver

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Done!

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