SOLUTION: 2x-9 = 8-3x

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Question 37909: 2x-9 = 8-3x
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=3.4.
  • Graphical form: Equation 2x-9=8-3x was fully solved.
  • Text form: 2x-9=8-3x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x-9=8-3x+%29
    For tutors: simplify_cartoon( 2x-9=8-3x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Ax-9=highlight_red%28+8+%29-3%2Ax.
Moved 8 to the right of expression
It becomes 2%2Ax-9=-3%2Ax%2Bhighlight_green%28+8+%29.
Look at 2%2Ax-9=highlight_red%28+-3%2Ax%2B8+%29.
Moved these terms to the left highlight_green%28+3%2Ax+%29,highlight_green%28+-8+%29
It becomes 2%2Ax-9%2Bhighlight_green%28+3%2Ax+%29-highlight_green%28+8+%29=0.
Look at 2%2Ax-highlight_red%28+9+%29%2B3%2Ax-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-17+%29%2B3%2Ax=0.
Look at 2%2Ax%2Bhighlight_red%28+-17+%29%2B3%2Ax=0.
Moved -17 to the right of expression
It becomes 2%2Ax%2B3%2Ax%2Bhighlight_green%28+-17+%29=0.
Look at 2%2Ax%2B3%2Ax%2Bhighlight_red%28+-17+%29=0.
Removed extra sign in front of -17
It becomes 2%2Ax%2B3%2Ax-highlight_green%28+17+%29=0.
Look at highlight_red%28+2%2Ax+%29%2Bhighlight_red%28+3%2Ax+%29-17=0.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+3%2Ax+%29 replacing them with highlight_green%28+%282%2B3%29%2Ax+%29
It becomes highlight_green%28+%282%2B3%29%2Ax+%29-17=0.
Look at %28highlight_red%28+2+%29%2Bhighlight_red%28+3+%29%29%2Ax-17=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ax-17=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-17=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ax-17=0.
Look at highlight_red%28+5%2Ax-17+%29=0.
Solved linear equation highlight_red%28+5%2Ax-17=0+%29 equivalent to 5*x-17 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=3.4.

Universal Simplifier and Solver


Done!

Hope this helps!