SOLUTION: 2-5x=6-3x

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Question 19085: 2-5x=6-3x
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


  • Here's what you tried:
  • This is an equation! Solutions: x=-2.
  • Graphical form: Equation 2-5x=6-3x was fully solved.
  • Text form: 2-5x=6-3x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2-5x=6-3x+%29
    For tutors: simplify_cartoon( 2-5x=6-3x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+2+%29-5%2Ax=6-3x.
Moved 2 to the right of expression
It becomes -5%2Ax%2Bhighlight_green%28+2+%29=6-3x.

Look at -5%2Ax%2B2=highlight_red%28+6+%29-3%2Ax.
Moved 6 to the right of expression
It becomes -5%2Ax%2B2=-3%2Ax%2Bhighlight_green%28+6+%29.

Look at -5%2Ax%2B2=highlight_red%28+-3%2Ax%2B6+%29.
Moved these terms to the left highlight_green%28+3%2Ax+%29,highlight_green%28+-6+%29
It becomes -5%2Ax%2B2%2Bhighlight_green%28+3%2Ax+%29-highlight_green%28+6+%29=0.

Look at -5%2Ax%2Bhighlight_red%28+2+%29%2B3%2Ax-highlight_red%28+6+%29=0.
Added fractions or integers together
It becomes -5%2Ax%2Bhighlight_green%28+-4+%29%2B3%2Ax=0.

Look at -5%2Ax%2Bhighlight_red%28+-4+%29%2B3%2Ax=0.
Moved -4 to the right of expression
It becomes -5%2Ax%2B3%2Ax%2Bhighlight_green%28+-4+%29=0.

Look at -5%2Ax%2B3%2Ax%2Bhighlight_red%28+-4+%29=0.
Removed extra sign in front of -4
It becomes -5%2Ax%2B3%2Ax-highlight_green%28+4+%29=0.

Look at -highlight_red%28+5%2Ax+%29%2Bhighlight_red%28+3%2Ax+%29-4=0.
Eliminated similar terms highlight_red%28+-5%2Ax+%29,highlight_red%28+3%2Ax+%29 replacing them with highlight_green%28+%28-5%2B3%29%2Ax+%29
It becomes highlight_green%28+%28-5%2B3%29%2Ax+%29-4=0.

Look at %28-highlight_red%28+5+%29%2Bhighlight_red%28+3+%29%29%2Ax-4=0.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ax-4=0.

Look at %28highlight_red%28+-2+%29%29%2Ax-4=0.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ax-4=0.

Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax+%29-4=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ax-4=0.

Look at highlight_red%28+-2%2Ax-4+%29=0.
Solved linear equation highlight_red%28+-2%2Ax-4=0+%29 equivalent to -2*x-4 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-2.

Universal Simplifier and Solver


Done!

Hope this helps!