SOLUTION: .10(x+80)+.20x=14

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Question 24243: .10(x+80)+.20x=14
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


  • Here's what you tried:
  • This is an equation! Solutions: x=20.
  • Graphical form: Equation .10%2A%28x%2B80%29%2B.20x=14 was fully solved.
  • Text form: .10*(x+80)+.20x=14 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+.10%2A%28x%2B80%29%2B.20x=14+%29
    For tutors: simplify_cartoon( .10*(x+80)+.20x=14 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .10%2A%28x%2B80%29%2B.20%2Ax=highlight_red%28+14+%29.
Moved these terms to the left highlight_green%28+-14+%29
It becomes .10%2A%28x%2B80%29%2B.20%2Ax-highlight_green%28+14+%29=0.
Look at highlight_red%28+.10%2A%28x%2B80%29+%29%2B.20%2Ax-14=0.
Expanded term .10 by using associative property on %28x%2B80%29
It becomes highlight_green%28+.10%2Ax+%29%2Bhighlight_green%28+.10%2A80+%29%2B.20%2Ax-14=0.
Look at .10%2Ax%2Bhighlight_red%28+.10%2A80+%29%2B.20%2Ax-highlight_red%28+14+%29=0.
Replace constants in expression: highlight_red%28+.10%2A80+%29,highlight_red%28+-14+%29 with highlight_green%28+-6+%29
It becomes highlight_green%28+-6+%29%2B.10%2Ax%2B.20%2Ax=0.
Look at highlight_red%28+-6+%29%2B.10%2Ax%2B.20%2Ax=0.
Moved -6 to the right of expression
It becomes .10%2Ax%2B.20%2Ax%2Bhighlight_green%28+-6+%29=0.
Look at .10%2Ax%2B.20%2Ax%2Bhighlight_red%28+-6+%29=0.
Removed extra sign in front of -6
It becomes .10%2Ax%2B.20%2Ax-highlight_green%28+6+%29=0.
Look at highlight_red%28+.10%2Ax+%29%2Bhighlight_red%28+.20%2Ax+%29-6=0.
Eliminated similar terms highlight_red%28+.10%2Ax+%29,highlight_red%28+.20%2Ax+%29 replacing them with highlight_green%28+%28.10%2B.20%29%2Ax+%29
It becomes highlight_green%28+%28.10%2B.20%29%2Ax+%29-6=0.
Look at %28highlight_red%28+.10+%29%2Bhighlight_red%28+.20+%29%29%2Ax-6=0.
Replace constants in expression: highlight_red%28+.10+%29,highlight_red%28+.20+%29 with highlight_green%28+0.3+%29
It becomes %28highlight_green%28+0.3+%29%29%2Ax-6=0.
Look at highlight_red%28+%28highlight_red%28+0.3+%29%29%2Ax+%29-6=0.
Remove unneeded parentheses around factor highlight_red%28+0.3+%29
It becomes highlight_green%28+0.3+%29%2Ax-6=0.
Look at highlight_red%28+0.3%2Ax-6+%29=0.
Solved linear equation highlight_red%28+0.3%2Ax-6=0+%29 equivalent to 0.3*x-6 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=20.

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Done!

Hope this helps!