SOLUTION: i need help on the following problem..... 1/2*(4x-8)=2(x+3) I cant remember how you find X !!! Thankyou

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Question 7273: i need help on the following problem.....
1/2*(4x-8)=2(x+3)
I cant remember how you find X !!!
Thankyou
Answer by ichudov(507) 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: 1%2F2%2A%284x-8%29=2%2A%28x%2B3%29 simplifies to -10=0
  • Text form: 1/2*(4x-8)=2*(x+3) simplifies to -10=0
  • Cartoon (animation) form: simplify_cartoon%28+1%2F2%2A%284x-8%29=2%2A%28x%2B3%29+%29
    For tutors: simplify_cartoon( 1/2*(4x-8)=2*(x+3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+1+%29%2F2%2A%284%2Ax-8%29=2%2A%28x%2B3%29.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes %284%2Ax-8%29%2F2=2%2A%28x%2B3%29.
Look at %284%2Ax-8%29%2F2=highlight_red%28+2%2A%28x%2B3%29+%29.
Moved these terms to the left highlight_green%28+-2%2A%28x%2B3%29+%29
It becomes %284%2Ax-8%29%2F2-highlight_green%28+2%2A%28x%2B3%29+%29=0.
Look at highlight_red%28+%284%2Ax-8%29%2F2+%29-2%2A%28x%2B3%29=0.
Expanded term 1%2F2 by using associative property on %284%2Ax-8%29
It becomes highlight_green%28+1%2F2%2A4%2Ax+%29-highlight_green%28+1%2F2%2A8+%29-2%2A%28x%2B3%29=0.
Look at 1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+4+%29%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0.
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+2+%29%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0.
Look at highlight_red%28+1+%29%2F1%2Ahighlight_red%28+2+%29%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0.
Multiplied numerator integers
It becomes highlight_green%28+2+%29%2F1%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0.
Look at 2%2F1%2Ax-1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+8+%29-2%2A%28x%2B3%29=0.
Factors 8 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 2%2F1%2Ax-1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+4+%29-2%2A%28x%2B3%29=0.
Look at 2%2F1%2Ax-highlight_red%28+1+%29%2F1%2Ahighlight_red%28+4+%29-2%2A%28x%2B3%29=0.
Multiplied numerator integers
It becomes 2%2F1%2Ax-highlight_green%28+4+%29%2F1-2%2A%28x%2B3%29=0.
Look at 2%2F1%2Ax-highlight_red%28+4%2F1+%29-2%2A%28x%2B3%29=0.
Moved -4%2F1 to the right of expression
It becomes 2%2F1%2Ax-2%2A%28x%2B3%29-highlight_green%28+4%2F1+%29=0.
Look at 2%2Fhighlight_red%28+1+%29%2Ax-2%2A%28x%2B3%29-4%2F1=0.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 2%2Ax-2%2A%28x%2B3%29-4%2F1=0.
Look at 2%2Ax-2%2A%28x%2B3%29-4%2Fhighlight_red%28+1+%29=0.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 2%2Ax-2%2A%28x%2B3%29-4=0.
Look at 2%2Ax-highlight_red%28+2%2A%28x%2B3%29+%29-4=0.
Expanded term -2 by using associative property on %28x%2B3%29
It becomes 2%2Ax-highlight_green%28+2%2Ax+%29-highlight_green%28+2%2A3+%29-4=0.
Look at 2%2Ax-2%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+3+%29-4=0.
Multiplied numerator integers
It becomes 2%2Ax-2%2Ax-highlight_green%28+6+%29-4=0.
Look at 2%2Ax-2%2Ax-highlight_red%28+6+%29-highlight_red%28+4+%29=0.
Added fractions or integers together
It becomes 2%2Ax-2%2Ax%2Bhighlight_green%28+-10+%29=0.
Look at 2%2Ax-2%2Ax%2Bhighlight_red%28+-10+%29=0.
Removed extra sign in front of -10
It becomes 2%2Ax-2%2Ax-highlight_green%28+10+%29=0.
Look at highlight_red%28+2%2Ax+%29-highlight_red%28+2%2Ax+%29-10=0.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%282-2%29%2Ax+%29
It becomes highlight_green%28+%282-2%29%2Ax+%29-10=0.
Look at highlight_red%28+%282-2%29%2Ax+%29-10=0.
Since highlight_red%28+%282-2%29%2Ax+%29 has zero as a factor, it should be replaced with a zero
Look at 0-10=0.
Added fractions or integers together
It becomes 0-10=0.
Look at highlight_red%28+0+%29-10=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes -10=0.
Result: -10=0

Universal Simplifier and Solver


Done!


As you can see, 10=0 is an impossible equation.