SOLUTION: Please explain how to solve 8(4-u)+u=8+u.

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Question 25321: Please explain how to solve 8(4-u)+u=8+u.
Found 2 solutions by Alwayscheerful, longjonsilver:
Answer by Alwayscheerful(414)   (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: u=3.
  • Graphical form: Equation was fully solved.
  • Text form: 8*(4-u)+u=8+u simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 8*(4-u)+u=8+u )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 4 to the right of expression
It becomes .
Look at .
Moved 8 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-u+%29,highlight_green%28+-8+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+u+%29,highlight_red%28+-u+%29 replacing them with highlight_green%28+%281-1%29%2Au+%29
It becomes .
Look at .
Since highlight_red%28+%281-1%29%2Au+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
Expanded term 8 by using associative property on %28-u%2B4%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Solved linear equation highlight_red%28+-8%2Au%2B24=0+%29 equivalent to -8*u+24 =0
It becomes .
Result:
This is an equation! Solutions: u=3.

Universal Simplifier and Solver


Done!

Hope this helps!
Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!
First, get rid of the brackets so that we just have a collection of terms to add or subtract...

8(4-u)+u=8+u
32-8u+u = 8+u

Now collect like terms (i shall do it in 2 stages)
32-7u = 8+u
and then
32-8u = 8
-8u = -24

Now divide by -8 to find what u is:
u = -24/-8
u = +3

jon.
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