SOLUTION: I have been unable to solve the following: -10 = 1/2x + x Is the answer 20/2?

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Question 18951: I have been unable to solve the following:
-10 = 1/2x + x
Is the answer 20/2?
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


  • This is an equation! Solutions: x=-6.66666666666667.
  • Graphical form: Equation -10=%281%2F2%29%2Ax%2Bx was fully solved.
  • Text form: -10=(1/2)*x+x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-10=%281%2F2%29%2Ax%2Bx+%29
    For tutors: simplify_cartoon( -10=(1/2)*x+x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -10=highlight_red%28+%28highlight_red%28+1%2F2+%29%29%2Ax+%29%2Bx.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes -10=highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Ax%2Bx.
Look at -10=highlight_red%28+1+%29%2F2%2Ax%2Bx.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -10=x%2F2%2Bx.
Look at -10=highlight_red%28+x%2F2+%29%2Bhighlight_red%28+x+%29.
Eliminated similar terms highlight_red%28+x%2F2+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%281%2F2%2B1%29%2Ax+%29
It becomes -10=highlight_green%28+%281%2F2%2B1%29%2Ax+%29.
Look at -10=%28highlight_red%28+1%2F2+%29%2Bhighlight_red%28+1+%29%29%2Ax.
Added fractions or integers together
It becomes -10=%28highlight_green%28+3%2F2+%29%29%2Ax.
Look at -10=highlight_red%28+%28highlight_red%28+3%2F2+%29%29%2Ax+%29.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+1%2F2+%29
It becomes -10=highlight_green%28+3+%29%2Fhighlight_green%28+2+%29%2Ax.
Look at -10=highlight_red%28+3%2F2%2Ax+%29.
Moved these terms to the left highlight_green%28+-3%2F2%2Ax+%29
It becomes -10-highlight_green%28+3%2F2%2Ax+%29=0.
Look at -highlight_red%28+10+%29-3%2F2%2Ax=0.
Moved -10 to the right of expression
It becomes -3%2F2%2Ax-highlight_green%28+10+%29=0.
Look at highlight_red%28+-3%2F2%2Ax-10+%29=0.
Solved linear equation highlight_red%28+-3%2F2%2Ax-10=0+%29 equivalent to -1.5*x-10 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-6.66666666666667.

Universal Simplifier and Solver


Done!

If you want your answer in fraction form, it would be -20%2F3
Your answer was close!
Hope this helps!