document.write( "Question 219458: Please help with the steps to solve $\"3%2F8+%2B+%283%2F16%29x=+5%2F8\"$ . I'm not sure how to isolate the x. \n" ); document.write( "

Algebra.Com's Answer #165020 by ichudov(507) $\"\"$ $\"About$

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=1.33333333333333.
Graphical form: Equation $\"3%2F8%2B%283%2F16%29%2Ax=5%2F8\"$ was fully solved.
Text form: 3/8+(3/16)*x=5/8 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+3%2F8%2B%283%2F16%29%2Ax=5%2F8+%29\"$
For tutors: simplify_cartoon( 3/8+(3/16)*x=5/8 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"3%2F8%2Bhighlight_red%28+%28highlight_red%28+3%2F16+%29%29%2Ax+%29=5%2F8\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$ , $\"highlight_red%28+1%2F16+%29\"$
It becomes $\"3%2F8%2Bhighlight_green%28+3+%29%2Fhighlight_green%28+16+%29%2Ax=5%2F8\"$ .
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Look at $\"highlight_red%28+3%2F8+%29%2B3%2F16%2Ax=5%2F8\"$ .
Moved $\"3%2F8\"$ to the right of expression
It becomes $\"3%2F16%2Ax%2Bhighlight_green%28+3%2F8+%29=5%2F8\"$ .
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Look at $\"3%2F16%2Ax%2B3%2F8=highlight_red%28+5%2F8+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-5%2F8+%29\"$
It becomes $\"3%2F16%2Ax%2B3%2F8-highlight_green%28+5%2F8+%29=0\"$ .
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Look at $\"3%2F16%2Ax%2Bhighlight_red%28+3%2F8+%29-highlight_red%28+5%2F8+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2F16%2Ax-highlight_green%28+2%2F8+%29=0\"$ .
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Look at $\"3%2F16%2Ax-highlight_red%28+2+%29%2Fhighlight_red%28+8+%29=0\"$ .
Factors 2 and 8 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"3%2F16%2Ax-highlight_green%28+1+%29%2Fhighlight_green%28+4+%29=0\"$ .
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Look at $\"highlight_red%28+3%2F16%2Ax-1%2F4+%29=0\"$ .
Solved linear equation $\"highlight_red%28+3%2F16%2Ax-1%2F4=0+%29\"$ equivalent to 0.1875*x-0.25 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=1.33333333333333.

Universal Simplifier and Solver

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Done!

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