SOLUTION: Solve 2x=x+1

Algebra ->  Equations -> SOLUTION: Solve 2x=x+1      Log On


   

Question 615260: Solve 2x=x+1
Answer by asuar010(338) 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.
  • Graphical form: Equation 2x=x%2B1 was fully solved.
  • Text form: 2x=x+1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x=x%2B1+%29
    For tutors: simplify_cartoon( 2x=x+1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Ax=highlight_red%28+x%2B1+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-1+%29
It becomes 2%2Ax-highlight_green%28+x+%29-highlight_green%28+1+%29=0.
Look at highlight_red%28+2%2Ax+%29-highlight_red%28+x+%29-1=0.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%282-1%29%2Ax+%29
It becomes highlight_green%28+%282-1%29%2Ax+%29-1=0.
Look at highlight_red%28+%282-1%29+%29%2Ax-1=0.
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes x-1=0.
Look at highlight_red%28+x-1+%29=0.
Solved linear equation highlight_red%28+x-1=0+%29 equivalent to x-1 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=1.

Universal Simplifier and Solver


Done!