SOLUTION: How do i solve this equation? 1/2 x -8 =14+ 1/2 x

Algebra ->  Linear-equations -> SOLUTION: How do i solve this equation? 1/2 x -8 =14+ 1/2 x      Log On


   

Question 18953: How do i solve this equation?
1/2 x -8 =14+ 1/2 x
Found 2 solutions by mmm4444bot, Alwayscheerful:
Answer by mmm4444bot(95) About Me  (Show Source):
You can put this solution on YOUR website!
Hello There:
(1/2)*x - 8 = 14 + (1/2)*x
Subtract (1/2)*x from both sides:
-8 = 14
Since the result is a false statement, this equation has no solutions.
~ Mark

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


  • Graphical form: %281%2F2%29%2Ax-8=14%2B%281%2F2%29%2Ax simplifies to -22=0
  • Text form: (1/2)*x-8=14+(1/2)*x simplifies to -22=0
  • Cartoon (animation) form: simplify_cartoon%28+%281%2F2%29%2Ax-8=14%2B%281%2F2%29%2Ax+%29
    For tutors: simplify_cartoon( (1/2)*x-8=14+(1/2)*x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+1%2F2+%29%29%2Ax+%29-8=14%2B%281%2F2%29%2Ax.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Ax-8=14%2B%281%2F2%29%2Ax.
Look at highlight_red%28+1+%29%2F2%2Ax-8=14%2B%281%2F2%29%2Ax.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2F2-8=14%2B%281%2F2%29%2Ax.
Look at x%2F2-8=14%2Bhighlight_red%28+%28highlight_red%28+1%2F2+%29%29%2Ax+%29.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes x%2F2-8=14%2Bhighlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Ax.
Look at x%2F2-8=14%2Bhighlight_red%28+1+%29%2F2%2Ax.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2F2-8=14%2Bx%2F2.
Look at x%2F2-8=highlight_red%28+14+%29%2Bx%2F2.
Moved 14 to the right of expression
It becomes x%2F2-8=x%2F2%2Bhighlight_green%28+14+%29.
Look at x%2F2-8=highlight_red%28+x%2F2%2B14+%29.
Moved these terms to the left highlight_green%28+-x%2F2+%29,highlight_green%28+-14+%29
It becomes x%2F2-8-highlight_green%28+x%2F2+%29-highlight_green%28+14+%29=0.
Look at x%2F2-highlight_red%28+8+%29-x%2F2-highlight_red%28+14+%29=0.
Added fractions or integers together
It becomes x%2F2%2Bhighlight_green%28+-22+%29-x%2F2=0.
Look at x%2F2%2Bhighlight_red%28+-22+%29-x%2F2=0.
Moved -22 to the right of expression
It becomes x%2F2-x%2F2%2Bhighlight_green%28+-22+%29=0.
Look at x%2F2-x%2F2%2Bhighlight_red%28+-22+%29=0.
Removed extra sign in front of -22
It becomes x%2F2-x%2F2-highlight_green%28+22+%29=0.
Look at highlight_red%28+x%2F2+%29-highlight_red%28+x%2F2+%29-22=0.
Eliminated similar terms highlight_red%28+x%2F2+%29,highlight_red%28+-x%2F2+%29 replacing them with highlight_green%28+%281%2F2-1%2F2%29%2Ax+%29
It becomes highlight_green%28+%281%2F2-1%2F2%29%2Ax+%29-22=0.
Look at highlight_red%28+%281%2F2-1%2F2%29%2Ax+%29-22=0.
Since highlight_red%28+%281%2F2-1%2F2%29%2Ax+%29 has zero as a factor, it should be replaced with a zero
Look at 0-22=0.
Added fractions or integers together
It becomes 0-22=0.
Look at highlight_red%28+0+%29-22=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes -22=0.
Result: -22=0

Universal Simplifier and Solver


Done!

False statement= NO SOLUTION
Hope this helps!