SOLUTION: the sum of three consecutive numbers is 41 less than 5 times the largest number. find the largest number.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the sum of three consecutive numbers is 41 less than 5 times the largest number. find the largest number.       Log On


   

Question 1050356: the sum of three consecutive numbers is 41 less than 5 times the largest number. find the largest number.
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of three consecutive numbers is 41 less than 5 times the largest number. find the largest number.
x + x+1 +x+2=-41+5x+10
-2x=-41+7
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=17.
  • Graphical form: Equation -2x=-41%2B7 was fully solved.
  • Text form: -2x=-41+7 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-2x=-41%2B7+%29
    For tutors: simplify_cartoon( -2x=-41+7 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -2%2Ax=-highlight_red%28+41+%29%2Bhighlight_red%28+7+%29.
Added fractions or integers together
It becomes -2%2Ax=highlight_green%28+-34+%29.
Look at -2%2Ax=highlight_red%28+-34+%29.
Removed extra sign in front of -34
It becomes -2%2Ax=-highlight_green%28+34+%29.
Look at -2%2Ax=highlight_red%28+-34+%29.
Moved these terms to the left highlight_green%28+34+%29
It becomes -2%2Ax%2Bhighlight_green%28+34+%29=0.
Look at highlight_red%28+-2%2Ax%2B34+%29=0.
Solved linear equation highlight_red%28+-2%2Ax%2B34=0+%29 equivalent to -2*x+34 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=17.

Universal Simplifier and Solver


Done!


x=19