SOLUTION: Thrice a number decreased by 5 exceeds twice the number by a unit. find the number?

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Question 939049: Thrice a number decreased by 5 exceeds twice the number by a unit. find the number?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number
Thrice a number decreased by 5 exceeds twice the number by a unit. find the number?
(3x-5)=2x+1
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=6.
  • Graphical form: Equation 3x-5=2x%2B1 was fully solved.
  • Text form: 3x-5=2x+1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3x-5=2x%2B1+%29
    For tutors: simplify_cartoon( 3x-5=2x+1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2Ax-5=highlight_red%28+2%2Ax%2B1+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-1+%29
It becomes 3%2Ax-5-highlight_green%28+2%2Ax+%29-highlight_green%28+1+%29=0.
Look at 3%2Ax-highlight_red%28+5+%29-2%2Ax-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-6+%29-2%2Ax=0.
Look at 3%2Ax%2Bhighlight_red%28+-6+%29-2%2Ax=0.
Moved -6 to the right of expression
It becomes 3%2Ax-2%2Ax%2Bhighlight_green%28+-6+%29=0.
Look at 3%2Ax-2%2Ax%2Bhighlight_red%28+-6+%29=0.
Removed extra sign in front of -6
It becomes 3%2Ax-2%2Ax-highlight_green%28+6+%29=0.
Look at highlight_red%28+3%2Ax+%29-highlight_red%28+2%2Ax+%29-6=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%283-2%29%2Ax+%29
It becomes highlight_green%28+%283-2%29%2Ax+%29-6=0.
Look at highlight_red%28+%283-2%29+%29%2Ax-6=0.
Remove extraneous '1' from product highlight_red%28+%283-2%29+%29
It becomes x-6=0.
Look at highlight_red%28+x-6+%29=0.
Solved linear equation highlight_red%28+x-6=0+%29 equivalent to x-6 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=6.

Universal Simplifier and Solver


Done!