SOLUTION: 3x-(-x)+4=2(-x)+10 x= -x= please help me solve this equation

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Question 26574: 3x-(-x)+4=2(-x)+10 x= -x=

please help me solve this equation

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=1.
  • Graphical form: Equation 3x-%28-x%29%2B4=2%2A%28-x%29%2B10 was fully solved.
  • Text form: 3x-(-x)+4=2*(-x)+10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3x-%28-x%29%2B4=2%2A%28-x%29%2B10+%29
    For tutors: simplify_cartoon( 3x-(-x)+4=2*(-x)+10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at 3%2Ax-highlight_red%28+%28-x%29+%29%2B4=2%2A%28-x%29%2B10.
Remove unneeded parentheses around terms highlight_red%28+x+%29
It becomes 3%2Ax%2Bhighlight_green%28+x+%29%2B4=2%2A%28-x%29%2B10.

Look at highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+x+%29%2B4=2%2A%28-x%29%2B10.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%283%2B1%29%2Ax+%29
It becomes highlight_green%28+%283%2B1%29%2Ax+%29%2B4=2%2A%28-x%29%2B10.

Look at %28highlight_red%28+3+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B4=2%2A%28-x%29%2B10.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax%2B4=2%2A%28-x%29%2B10.

Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B4=2%2A%28-x%29%2B10.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax%2B4=2%2A%28-x%29%2B10.

Look at 4%2Ax%2B4=highlight_red%28+2%2A%28-highlight_red%28+x+%29%29+%29%2B10.
Remove unneeded parentheses around factor highlight_red%28+x+%29
It becomes 4%2Ax%2B4=-2%2Ahighlight_green%28+x+%29%2B10.

Look at 4%2Ax%2B4=highlight_red%28+-2%2Ax%2B10+%29.
Moved these terms to the left highlight_green%28+2%2Ax+%29,highlight_green%28+-10+%29
It becomes 4%2Ax%2B4%2Bhighlight_green%28+2%2Ax+%29-highlight_green%28+10+%29=0.

Look at 4%2Ax%2Bhighlight_red%28+4+%29%2B2%2Ax-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-6+%29%2B2%2Ax=0.

Look at 4%2Ax%2Bhighlight_red%28+-6+%29%2B2%2Ax=0.
Moved -6 to the right of expression
It becomes 4%2Ax%2B2%2Ax%2Bhighlight_green%28+-6+%29=0.

Look at 4%2Ax%2B2%2Ax%2Bhighlight_red%28+-6+%29=0.
Removed extra sign in front of -6
It becomes 4%2Ax%2B2%2Ax-highlight_green%28+6+%29=0.

Look at highlight_red%28+4%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29-6=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%284%2B2%29%2Ax+%29
It becomes highlight_green%28+%284%2B2%29%2Ax+%29-6=0.

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

Look at highlight_red%28+%28highlight_red%28+6+%29%29%2Ax+%29-6=0.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes highlight_green%28+6+%29%2Ax-6=0.

Look at highlight_red%28+6%2Ax-6+%29=0.
Solved linear equation highlight_red%28+6%2Ax-6=0+%29 equivalent to 6*x-6 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=1.

Universal Simplifier and Solver


Done!

obviously, x=1
-x=-1
Hope this helps!