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

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Question 24722: helpwith -3x-4=4x+10
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=-2.
  • Graphical form: Equation -3x-4=4x%2B10 was fully solved.
  • Text form: -3x-4=4x+10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3x-4=4x%2B10+%29
    For tutors: simplify_cartoon( -3x-4=4x+10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -3%2Ax-4=highlight_red%28+4%2Ax%2B10+%29.
Moved these terms to the left highlight_green%28+-4%2Ax+%29,highlight_green%28+-10+%29
It becomes -3%2Ax-4-highlight_green%28+4%2Ax+%29-highlight_green%28+10+%29=0.

Look at -3%2Ax-highlight_red%28+4+%29-4%2Ax-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes -3%2Ax%2Bhighlight_green%28+-14+%29-4%2Ax=0.

Look at -3%2Ax%2Bhighlight_red%28+-14+%29-4%2Ax=0.
Moved -14 to the right of expression
It becomes -3%2Ax-4%2Ax%2Bhighlight_green%28+-14+%29=0.

Look at -3%2Ax-4%2Ax%2Bhighlight_red%28+-14+%29=0.
Removed extra sign in front of -14
It becomes -3%2Ax-4%2Ax-highlight_green%28+14+%29=0.

Look at -highlight_red%28+3%2Ax+%29-highlight_red%28+4%2Ax+%29-14=0.
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 highlight_green%28+%28-3-4%29%2Ax+%29-14=0.

Look at %28-highlight_red%28+3+%29-highlight_red%28+4+%29%29%2Ax-14=0.
Added fractions or integers together
It becomes %28highlight_green%28+-7+%29%29%2Ax-14=0.

Look at %28highlight_red%28+-7+%29%29%2Ax-14=0.
Removed extra sign in front of -7
It becomes %28-highlight_green%28+7+%29%29%2Ax-14=0.

Look at highlight_red%28+%28-highlight_red%28+7+%29%29%2Ax+%29-14=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes -highlight_green%28+7+%29%2Ax-14=0.

Look at highlight_red%28+-7%2Ax-14+%29=0.
Solved linear equation highlight_red%28+-7%2Ax-14=0+%29 equivalent to -7*x-14 =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!