SOLUTION: 5/3(3x-15)+6=1

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Question 27153: 5/3(3x-15)+6=1
Answer by Alwayscheerful(414) 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=4.
  • Graphical form: Equation %285%2F3%29%2A%283x-15%29%2B6=1 was fully solved.
  • Text form: (5/3)*(3x-15)+6=1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%285%2F3%29%2A%283x-15%29%2B6=1+%29
    For tutors: simplify_cartoon( (5/3)*(3x-15)+6=1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+5%2F3+%29%29%2A%283%2Ax-15%29+%29%2B6=1.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F3+%29
It becomes highlight_green%28+5+%29%2Fhighlight_green%28+3+%29%2A%283%2Ax-15%29%2B6=1.
Look at 5%2F3%2A%283%2Ax-15%29%2B6=highlight_red%28+1+%29.
Moved these terms to the left highlight_green%28+-1+%29
It becomes 5%2F3%2A%283%2Ax-15%29%2B6-highlight_green%28+1+%29=0.
Look at 5%2F3%2A%283%2Ax-15%29%2Bhighlight_red%28+6+%29-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes 5%2F3%2A%283%2Ax-15%29%2Bhighlight_green%28+5+%29=0.
Look at highlight_red%28+5%2F3%2A%283%2Ax-15%29+%29%2B5=0.
Expanded term 5%2F3 by using associative property on %283%2Ax-15%29
It becomes highlight_green%28+5%2F3%2A3%2Ax+%29-highlight_green%28+5%2F3%2A15+%29%2B5=0.
Look at 5%2Fhighlight_red%28+3+%29%2Ahighlight_red%28+3+%29%2Ax-5%2F3%2A15%2B5=0.
Factors 3 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 5%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+1+%29%2Ax-5%2F3%2A15%2B5=0.
Look at highlight_red%28+5+%29%2F1%2Ahighlight_red%28+1+%29%2Ax-5%2F3%2A15%2B5=0.
Multiplied numerator integers
It becomes highlight_green%28+5+%29%2F1%2Ax-5%2F3%2A15%2B5=0.
Look at 5%2F1%2Ax-5%2Fhighlight_red%28+3+%29%2Ahighlight_red%28+15+%29%2B5=0.
Factors 15 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 5%2F1%2Ax-5%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+5+%29%2B5=0.
Look at 5%2F1%2Ax-highlight_red%28+5+%29%2F1%2Ahighlight_red%28+5+%29%2B5=0.
Multiplied numerator integers
It becomes 5%2F1%2Ax-highlight_green%28+25+%29%2F1%2B5=0.
Look at 5%2F1%2Ax-highlight_red%28+25%2F1+%29%2Bhighlight_red%28+5+%29=0.
Added fractions or integers together
It becomes 5%2F1%2Ax%2Bhighlight_green%28+-20+%29=0.
Look at 5%2F1%2Ax%2Bhighlight_red%28+-20+%29=0.
Removed extra sign in front of -20
It becomes 5%2F1%2Ax-highlight_green%28+20+%29=0.
Look at 5%2Fhighlight_red%28+1+%29%2Ax-20=0.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 5%2Ax-20=0.
Look at highlight_red%28+5%2Ax-20+%29=0.
Solved linear equation highlight_red%28+5%2Ax-20=0+%29 equivalent to 5*x-20 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=4.

Universal Simplifier and Solver


Done!

Hope this helps!