SOLUTION: 5w-3=8(w+3) solve w

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Question 22461: 5w-3=8(w+3) solve w
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: w=-9.
  • Graphical form: Equation 5w-3=8%2A%28w%2B3%29 was fully solved.
  • Text form: 5w-3=8*(w+3) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5w-3=8%2A%28w%2B3%29+%29
    For tutors: simplify_cartoon( 5w-3=8*(w+3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2Aw-3=highlight_red%28+8%2A%28w%2B3%29+%29.
Moved these terms to the left highlight_green%28+-8%2A%28w%2B3%29+%29
It becomes 5%2Aw-3-highlight_green%28+8%2A%28w%2B3%29+%29=0.
Look at 5%2Aw-highlight_red%28+3+%29-8%2A%28w%2B3%29=0.
Moved -3 to the right of expression
It becomes 5%2Aw-8%2A%28w%2B3%29-highlight_green%28+3+%29=0.
Look at 5%2Aw-highlight_red%28+8%2A%28w%2B3%29+%29-3=0.
Expanded term -8 by using associative property on %28w%2B3%29
It becomes 5%2Aw-highlight_green%28+8%2Aw+%29-highlight_green%28+8%2A3+%29-3=0.
Look at 5%2Aw-8%2Aw-highlight_red%28+8+%29%2Ahighlight_red%28+3+%29-3=0.
Multiplied numerator integers
It becomes 5%2Aw-8%2Aw-highlight_green%28+24+%29-3=0.
Look at 5%2Aw-8%2Aw-highlight_red%28+24+%29-highlight_red%28+3+%29=0.
Added fractions or integers together
It becomes 5%2Aw-8%2Aw%2Bhighlight_green%28+-27+%29=0.
Look at 5%2Aw-8%2Aw%2Bhighlight_red%28+-27+%29=0.
Removed extra sign in front of -27
It becomes 5%2Aw-8%2Aw-highlight_green%28+27+%29=0.
Look at highlight_red%28+5%2Aw+%29-highlight_red%28+8%2Aw+%29-27=0.
Eliminated similar terms highlight_red%28+5%2Aw+%29,highlight_red%28+-8%2Aw+%29 replacing them with highlight_green%28+%285-8%29%2Aw+%29
It becomes highlight_green%28+%285-8%29%2Aw+%29-27=0.
Look at %28highlight_red%28+5+%29-highlight_red%28+8+%29%29%2Aw-27=0.
Added fractions or integers together
It becomes %28highlight_green%28+-3+%29%29%2Aw-27=0.
Look at %28highlight_red%28+-3+%29%29%2Aw-27=0.
Removed extra sign in front of -3
It becomes %28-highlight_green%28+3+%29%29%2Aw-27=0.
Look at highlight_red%28+%28-highlight_red%28+3+%29%29%2Aw+%29-27=0.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes -highlight_green%28+3+%29%2Aw-27=0.
Look at highlight_red%28+-3%2Aw-27+%29=0.
Solved linear equation highlight_red%28+-3%2Aw-27=0+%29 equivalent to -3*w-27 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=-9.

Universal Simplifier and Solver


Done!

Hope this helps!