document.write( "Question 25321: Please explain how to solve 8(4-u)+u=8+u. \n" ); document.write( "

Algebra.Com's Answer #13576 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: u=3.
Graphical form: Equation $\"8%2A%284-u%29%2Bu=8%2Bu\"$ was fully solved.
Text form: 8*(4-u)+u=8+u simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+8%2A%284-u%29%2Bu=8%2Bu+%29\"$
For tutors: simplify_cartoon( 8*(4-u)+u=8+u )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"8%2A%28highlight_red%28+4+%29-u%29%2Bu=8%2Bu\"$ .
Moved $\"4\"$ to the right of expression
It becomes $\"8%2A%28-u%2Bhighlight_green%28+4+%29%29%2Bu=8%2Bu\"$ .
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Look at $\"8%2A%28-u%2B4%29%2Bu=highlight_red%28+8+%29%2Bu\"$ .
Moved $\"8\"$ to the right of expression
It becomes $\"8%2A%28-u%2B4%29%2Bu=u%2Bhighlight_green%28+8+%29\"$ .
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Look at $\"8%2A%28-u%2B4%29%2Bu=highlight_red%28+u%2B8+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-u+%29\"$ , $\"highlight_green%28+-8+%29\"$
It becomes $\"8%2A%28-u%2B4%29%2Bu-highlight_green%28+u+%29-highlight_green%28+8+%29=0\"$ .
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Look at $\"8%2A%28-u%2B4%29%2Bhighlight_red%28+u+%29-highlight_red%28+u+%29-8=0\"$ .
Eliminated similar terms $\"highlight_red%28+u+%29\"$ , $\"highlight_red%28+-u+%29\"$ replacing them with $\"highlight_green%28+%281-1%29%2Au+%29\"$
It becomes $\"8%2A%28-u%2B4%29%2Bhighlight_green%28+%281-1%29%2Au+%29-8=0\"$ .
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Look at $\"8%2A%28-u%2B4%29%2Bhighlight_red%28+%281-1%29%2Au+%29-8=0\"$ .
Since $\"highlight_red%28+%281-1%29%2Au+%29\"$ has zero as a factor, it should be replaced with a zero
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Look at $\"8%2A%28-u%2B4%29%2B0-8=0\"$ .
Added fractions or integers together
It becomes $\"8%2A%28-u%2B4%29%2B0-8=0\"$ .
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Look at $\"8%2A%28-u%2B4%29%2Bhighlight_red%28+0+%29-8=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"8%2A%28-u%2B4%29-8=0\"$ .
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Look at $\"highlight_red%28+8%2A%28-u%2B4%29+%29-8=0\"$ .
Expanded term $\"8\"$ by using associative property on $\"%28-u%2B4%29\"$
It becomes $\"-highlight_green%28+8%2Au+%29%2Bhighlight_green%28+8%2A4+%29-8=0\"$ .
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Look at $\"-8%2Au%2Bhighlight_red%28+8+%29%2Ahighlight_red%28+4+%29-8=0\"$ .
Multiplied numerator integers
It becomes $\"-8%2Au%2Bhighlight_green%28+32+%29-8=0\"$ .
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Look at $\"-8%2Au%2Bhighlight_red%28+32+%29-highlight_red%28+8+%29=0\"$ .
Added fractions or integers together
It becomes $\"-8%2Au%2Bhighlight_green%28+24+%29=0\"$ .
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Look at $\"highlight_red%28+-8%2Au%2B24+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-8%2Au%2B24=0+%29\"$ equivalent to -8*u+24 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: u=3.

Universal Simplifier and Solver

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Done!

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