SOLUTION: -10x+3=-3x+12-4x

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Question 18923: -10x+3=-3x+12-4x
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.
  • Graphical form: Equation -10x%2B3=-3x%2B12-4x was fully solved.
  • Text form: -10x+3=-3x+12-4x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-10x%2B3=-3x%2B12-4x+%29
    For tutors: simplify_cartoon( -10x+3=-3x+12-4x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -10%2Ax%2B3=-3%2Ax%2Bhighlight_red%28+12+%29-4%2Ax.
Moved 12 to the right of expression
It becomes -10%2Ax%2B3=-3%2Ax-4%2Ax%2Bhighlight_green%28+12+%29.

Look at -10%2Ax%2B3=-highlight_red%28+3%2Ax+%29-highlight_red%28+4%2Ax+%29%2B12.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+-4%2Ax+%29 replacing them with highlight_green%28+%28-3-4%29%2Ax+%29
It becomes -10%2Ax%2B3=highlight_green%28+%28-3-4%29%2Ax+%29%2B12.

Look at -10%2Ax%2B3=%28-highlight_red%28+3+%29-highlight_red%28+4+%29%29%2Ax%2B12.
Added fractions or integers together
It becomes -10%2Ax%2B3=%28highlight_green%28+-7+%29%29%2Ax%2B12.

Look at -10%2Ax%2B3=%28highlight_red%28+-7+%29%29%2Ax%2B12.
Removed extra sign in front of -7
It becomes -10%2Ax%2B3=%28-highlight_green%28+7+%29%29%2Ax%2B12.

Look at -10%2Ax%2B3=highlight_red%28+%28-highlight_red%28+7+%29%29%2Ax+%29%2B12.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes -10%2Ax%2B3=-highlight_green%28+7+%29%2Ax%2B12.

Look at -10%2Ax%2B3=highlight_red%28+-7%2Ax%2B12+%29.
Moved these terms to the left highlight_green%28+7%2Ax+%29,highlight_green%28+-12+%29
It becomes -10%2Ax%2B3%2Bhighlight_green%28+7%2Ax+%29-highlight_green%28+12+%29=0.

Look at -10%2Ax%2Bhighlight_red%28+3+%29%2B7%2Ax-highlight_red%28+12+%29=0.
Added fractions or integers together
It becomes -10%2Ax%2Bhighlight_green%28+-9+%29%2B7%2Ax=0.

Look at -10%2Ax%2Bhighlight_red%28+-9+%29%2B7%2Ax=0.
Moved -9 to the right of expression
It becomes -10%2Ax%2B7%2Ax%2Bhighlight_green%28+-9+%29=0.

Look at -10%2Ax%2B7%2Ax%2Bhighlight_red%28+-9+%29=0.
Removed extra sign in front of -9
It becomes -10%2Ax%2B7%2Ax-highlight_green%28+9+%29=0.

Look at -highlight_red%28+10%2Ax+%29%2Bhighlight_red%28+7%2Ax+%29-9=0.
Eliminated similar terms highlight_red%28+-10%2Ax+%29,highlight_red%28+7%2Ax+%29 replacing them with highlight_green%28+%28-10%2B7%29%2Ax+%29
It becomes highlight_green%28+%28-10%2B7%29%2Ax+%29-9=0.

Look at %28-highlight_red%28+10+%29%2Bhighlight_red%28+7+%29%29%2Ax-9=0.
Added fractions or integers together
It becomes %28highlight_green%28+-3+%29%29%2Ax-9=0.

Look at %28highlight_red%28+-3+%29%29%2Ax-9=0.
Removed extra sign in front of -3
It becomes %28-highlight_green%28+3+%29%29%2Ax-9=0.

Look at highlight_red%28+%28-highlight_red%28+3+%29%29%2Ax+%29-9=0.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes -highlight_green%28+3+%29%2Ax-9=0.

Look at highlight_red%28+-3%2Ax-9+%29=0.
Solved linear equation highlight_red%28+-3%2Ax-9=0+%29 equivalent to -3*x-9 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-3.

Universal Simplifier and Solver


Done!

Hope this helps!