SOLUTION: 3w - 4 = w + 8

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Question 308787: 3w - 4 = w + 8
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


  • This is an equation! Solutions: w=6.
  • Graphical form: Equation 3w-4=w%2B8 was fully solved.
  • Text form: 3w-4=w+8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3w-4=w%2B8+%29
    For tutors: simplify_cartoon( 3w-4=w+8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2Aw-4=highlight_red%28+w%2B8+%29.
Moved these terms to the left highlight_green%28+-w+%29,highlight_green%28+-8+%29
It becomes 3%2Aw-4-highlight_green%28+w+%29-highlight_green%28+8+%29=0.
Look at 3%2Aw-highlight_red%28+4+%29-w-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 3%2Aw%2Bhighlight_green%28+-12+%29-w=0.
Look at 3%2Aw%2Bhighlight_red%28+-12+%29-w=0.
Moved -12 to the right of expression
It becomes 3%2Aw-w%2Bhighlight_green%28+-12+%29=0.
Look at 3%2Aw-w%2Bhighlight_red%28+-12+%29=0.
Removed extra sign in front of -12
It becomes 3%2Aw-w-highlight_green%28+12+%29=0.
Look at highlight_red%28+3%2Aw+%29-highlight_red%28+w+%29-12=0.
Eliminated similar terms highlight_red%28+3%2Aw+%29,highlight_red%28+-w+%29 replacing them with highlight_green%28+%283-1%29%2Aw+%29
It becomes highlight_green%28+%283-1%29%2Aw+%29-12=0.
Look at %28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Aw-12=0.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Aw-12=0.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Aw+%29-12=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Aw-12=0.
Look at highlight_red%28+2%2Aw-12+%29=0.
Solved linear equation highlight_red%28+2%2Aw-12=0+%29 equivalent to 2*w-12 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=6.

Universal Simplifier and Solver


Done!