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

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Question 27153: 5/3(3x-15)+6=1
Answer by Alwayscheerful(414)   (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 was fully solved.
  • Text form: (5/3)*(3x-15)+6=1 simplifies to 0=0
  • Cartoon (animation) form:
    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 .
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F3+%29
It becomes .

Look at .
Moved these terms to the left highlight_green%28+-1+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Expanded term 5%2F3 by using associative property on %283%2Ax-15%29
It becomes .

Look at .
Factors 3 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Factors 15 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -20
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .

Look at .
Solved linear equation highlight_red%28+5%2Ax-20=0+%29 equivalent to 5*x-20 =0
It becomes .
Result:
This is an equation! Solutions: x=4.

Universal Simplifier and Solver


Done!

Hope this helps!

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