SOLUTION: 3(x-4)=2x+9

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Question 22594: 3(x-4)=2x+9
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: x=21.
  • Graphical form: Equation 3%2A%28x-4%29=2x%2B9 was fully solved.
  • Text form: 3*(x-4)=2x+9 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%28x-4%29=2x%2B9+%29
    For tutors: simplify_cartoon( 3*(x-4)=2x+9 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%28x-4%29=highlight_red%28+2%2Ax%2B9+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-9+%29
It becomes 3%2A%28x-4%29-highlight_green%28+2%2Ax+%29-highlight_green%28+9+%29=0.
Look at highlight_red%28+3%2A%28x-4%29+%29-2%2Ax-9=0.
Expanded term 3 by using associative property on %28x-4%29
It becomes highlight_green%28+3%2Ax+%29-highlight_green%28+3%2A4+%29-2%2Ax-9=0.
Look at 3%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29-2%2Ax-9=0.
Multiplied numerator integers
It becomes 3%2Ax-highlight_green%28+12+%29-2%2Ax-9=0.
Look at 3%2Ax-highlight_red%28+12+%29-2%2Ax-highlight_red%28+9+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-21+%29-2%2Ax=0.
Look at 3%2Ax%2Bhighlight_red%28+-21+%29-2%2Ax=0.
Moved -21 to the right of expression
It becomes 3%2Ax-2%2Ax%2Bhighlight_green%28+-21+%29=0.
Look at 3%2Ax-2%2Ax%2Bhighlight_red%28+-21+%29=0.
Removed extra sign in front of -21
It becomes 3%2Ax-2%2Ax-highlight_green%28+21+%29=0.
Look at highlight_red%28+3%2Ax+%29-highlight_red%28+2%2Ax+%29-21=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%283-2%29%2Ax+%29
It becomes highlight_green%28+%283-2%29%2Ax+%29-21=0.
Look at highlight_red%28+%283-2%29+%29%2Ax-21=0.
Remove extraneous '1' from product highlight_red%28+%283-2%29+%29
It becomes x-21=0.
Look at highlight_red%28+x-21+%29=0.
Solved linear equation highlight_red%28+x-21=0+%29 equivalent to x-21 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=21.

Universal Simplifier and Solver


Done!

Hope this helps!