SOLUTION: -(x+6)+4x=3(x-1)+7

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Question 34040: -(x+6)+4x=3(x-1)+7
Found 2 solutions by xcentaur, ichudov:
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
-(x+6)+4x=3(x-1)+7
opening brackets,
-x-6+4x=3x-3+7
3x-6=3x+4
take everything to one side
3x-3x-6-4=0
0-10=0
-10=0
which cannot be true


please check your question,then post again
-xC


Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
This equation has no solutions. It simplifies to 0=10.
Are you sure that you typed it correctly?
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: -%28x%2B6%29%2B4x=3%2A%28x-1%29%2B7 simplifies to -10=0
  • Text form: -(x+6)+4x=3*(x-1)+7 simplifies to -10=0
  • Cartoon (animation) form: simplify_cartoon%28+-%28x%2B6%29%2B4x=3%2A%28x-1%29%2B7+%29
    For tutors: simplify_cartoon( -(x+6)+4x=3*(x-1)+7 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+%28x%2B6%29+%29%2B4%2Ax=3%2A%28x-1%29%2B7.
Remove unneeded parentheses around terms highlight_red%28+-x+%29,highlight_red%28+-6+%29
It becomes -highlight_green%28+x+%29-highlight_green%28+6+%29%2B4%2Ax=3%2A%28x-1%29%2B7.
Look at -x-highlight_red%28+6+%29%2B4%2Ax=3%2A%28x-1%29%2B7.
Moved -6 to the right of expression
It becomes -x%2B4%2Ax-highlight_green%28+6+%29=3%2A%28x-1%29%2B7.
Look at -highlight_red%28+x+%29%2Bhighlight_red%28+4%2Ax+%29-6=3%2A%28x-1%29%2B7.
Eliminated similar terms highlight_red%28+-x+%29,highlight_red%28+4%2Ax+%29 replacing them with highlight_green%28+%28-1%2B4%29%2Ax+%29
It becomes highlight_green%28+%28-1%2B4%29%2Ax+%29-6=3%2A%28x-1%29%2B7.
Look at %28-highlight_red%28+1+%29%2Bhighlight_red%28+4+%29%29%2Ax-6=3%2A%28x-1%29%2B7.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax-6=3%2A%28x-1%29%2B7.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29-6=3%2A%28x-1%29%2B7.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax-6=3%2A%28x-1%29%2B7.
Look at 3%2Ax-6=highlight_red%28+3%2A%28x-1%29%2B7+%29.
Moved these terms to the left highlight_green%28+-3%2A%28x-1%29+%29,highlight_green%28+-7+%29
It becomes 3%2Ax-6-highlight_green%28+3%2A%28x-1%29+%29-highlight_green%28+7+%29=0.
Look at 3%2Ax-highlight_red%28+6+%29-3%2A%28x-1%29-highlight_red%28+7+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-13+%29-3%2A%28x-1%29=0.
Look at 3%2Ax%2Bhighlight_red%28+-13+%29-3%2A%28x-1%29=0.
Moved -13 to the right of expression
It becomes 3%2Ax-3%2A%28x-1%29%2Bhighlight_green%28+-13+%29=0.
Look at 3%2Ax-3%2A%28x-1%29%2Bhighlight_red%28+-13+%29=0.
Removed extra sign in front of -13
It becomes 3%2Ax-3%2A%28x-1%29-highlight_green%28+13+%29=0.
Look at 3%2Ax-highlight_red%28+3%2A%28x-1%29+%29-13=0.
Expanded term -3 by using associative property on %28x-1%29
It becomes 3%2Ax-highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A1+%29-13=0.
Look at 3%2Ax-3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+1+%29-13=0.
Multiplied numerator integers
It becomes 3%2Ax-3%2Ax%2Bhighlight_green%28+3+%29-13=0.
Look at 3%2Ax-3%2Ax%2Bhighlight_red%28+3+%29-highlight_red%28+13+%29=0.
Added fractions or integers together
It becomes 3%2Ax-3%2Ax%2Bhighlight_green%28+-10+%29=0.
Look at 3%2Ax-3%2Ax%2Bhighlight_red%28+-10+%29=0.
Removed extra sign in front of -10
It becomes 3%2Ax-3%2Ax-highlight_green%28+10+%29=0.
Look at highlight_red%28+3%2Ax+%29-highlight_red%28+3%2Ax+%29-10=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%283-3%29%2Ax+%29
It becomes highlight_green%28+%283-3%29%2Ax+%29-10=0.
Look at highlight_red%28+%283-3%29%2Ax+%29-10=0.
Since highlight_red%28+%283-3%29%2Ax+%29 has zero as a factor, it should be replaced with a zero
Look at 0-10=0.
Added fractions or integers together
It becomes 0-10=0.
Look at highlight_red%28+0+%29-10=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes -10=0.
Result: -10=0

Universal Simplifier and Solver


Done!