document.write( "Question 1157827: If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number. \n" ); document.write( "

Algebra.Com's Answer #780713 by Shin123(626) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation we get is $\"%28x-4%29%2F4=%281%2F6%29x%2B1\"$ . \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: Solve an equation

This is a solution to the equation:
Your Result:

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This is an equation! Solutions: x=24.
Graphical form: Equation $\"%28x-4%29%2F4=%281%2F6%29%2Ax%2B1\"$ was fully solved.
Text form: (x-4)/4=(1/6)*x+1 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%28x-4%29%2F4=%281%2F6%29%2Ax%2B1+%29\"$
For tutors: simplify_cartoon( (x-4)/4=(1/6)*x+1 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"%28x-4%29%2F4=highlight_red%28+%28highlight_red%28+1%2F6+%29%29%2Ax+%29%2B1\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$ , $\"highlight_red%28+1%2F6+%29\"$
It becomes $\"%28x-4%29%2F4=highlight_green%28+1+%29%2Fhighlight_green%28+6+%29%2Ax%2B1\"$ .
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Look at $\"%28x-4%29%2F4=highlight_red%28+1+%29%2F6%2Ax%2B1\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"%28x-4%29%2F4=x%2F6%2B1\"$ .
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Look at $\"%28x-4%29%2F4=highlight_red%28+x%2F6%2B1+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x%2F6+%29\"$ , $\"highlight_green%28+-1+%29\"$
It becomes $\"%28x-4%29%2F4-highlight_green%28+x%2F6+%29-highlight_green%28+1+%29=0\"$ .
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Look at $\"highlight_red%28+%28x-4%29%2F4+%29-x%2F6-1=0\"$ .
Expanded term $\"1%2F4\"$ by using associative property on $\"%28x-4%29\"$
It becomes $\"highlight_green%28+1%2F4%2Ax+%29-highlight_green%28+1%2F4%2A4+%29-x%2F6-1=0\"$ .
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Look at $\"highlight_red%28+1+%29%2F4%2Ax-1%2F4%2A4-x%2F6-1=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"x%2F4-1%2F4%2A4-x%2F6-1=0\"$ .
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Look at $\"x%2F4-1%2Fhighlight_red%28+4+%29%2Ahighlight_red%28+4+%29-x%2F6-1=0\"$ .
Factors 4 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes $\"x%2F4-1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+1+%29-x%2F6-1=0\"$ .
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Look at $\"x%2F4-highlight_red%28+1+%29%2F1%2Ahighlight_red%28+1+%29-x%2F6-1=0\"$ .
Multiplied numerator integers
It becomes $\"x%2F4-highlight_green%28+1+%29%2F1-x%2F6-1=0\"$ .
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Look at $\"x%2F4-highlight_red%28+1%2F1+%29-x%2F6-highlight_red%28+1+%29=0\"$ .
Added fractions or integers together
It becomes $\"x%2F4%2Bhighlight_green%28+-2+%29-x%2F6=0\"$ .
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Look at $\"x%2F4%2Bhighlight_red%28+-2+%29-x%2F6=0\"$ .
Moved $\"-2\"$ to the right of expression
It becomes $\"x%2F4-x%2F6%2Bhighlight_green%28+-2+%29=0\"$ .
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Look at $\"x%2F4-x%2F6%2Bhighlight_red%28+-2+%29=0\"$ .
Removed extra sign in front of $\"-2\"$
It becomes $\"x%2F4-x%2F6-highlight_green%28+2+%29=0\"$ .
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Look at $\"highlight_red%28+x%2F4+%29-highlight_red%28+x%2F6+%29-2=0\"$ .
Eliminated similar terms $\"highlight_red%28+x%2F4+%29\"$ , $\"highlight_red%28+-x%2F6+%29\"$ replacing them with $\"highlight_green%28+%281%2F4-1%2F6%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2F4-1%2F6%29%2Ax+%29-2=0\"$ .
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Look at $\"%28highlight_red%28+1%2F4+%29-highlight_red%28+1%2F6+%29%29%2Ax-2=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+1%2F12+%29%29%2Ax-2=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+1%2F12+%29%29%2Ax+%29-2=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$ , $\"highlight_red%28+1%2F12+%29\"$
It becomes $\"highlight_green%28+1+%29%2Fhighlight_green%28+12+%29%2Ax-2=0\"$ .
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Look at $\"highlight_red%28+1+%29%2F12%2Ax-2=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"x%2F12-2=0\"$ .
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Look at $\"highlight_red%28+x%2F12-2+%29=0\"$ .
Solved linear equation $\"highlight_red%28+x%2F12-2=0+%29\"$ equivalent to 0.0833333333333333*x-2 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=24.

Universal Simplifier and Solver

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Done!
0=0;x=24

\n" ); document.write( " $\"x%2F12-2=0\"$ $\"x%2F12=2\"$ $\"highlight%28x=24%29\"$ . Click here to use the solver above. \n" ); document.write( "

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