SOLUTION: Please help with the steps to solve {{{3/8 + (3/16)x= 5/8}}}. I'm not sure how to isolate the x.

Algebra ->  Equations -> SOLUTION: Please help with the steps to solve {{{3/8 + (3/16)x= 5/8}}}. I'm not sure how to isolate the x.      Log On


   

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.
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION

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.
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.
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.
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.
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.
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
This is an equation! Solutions: x=1.33333333333333.

Universal Simplifier and Solver


Done!