SOLUTION: -4(x-2)+3x=6x+5-2x

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Question 21230: -4(x-2)+3x=6x+5-2x
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=0.6.
  • Graphical form: Equation -4%2A%28x-2%29%2B3x=6x%2B5-2x was fully solved.
  • Text form: -4*(x-2)+3x=6x+5-2x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-4%2A%28x-2%29%2B3x=6x%2B5-2x+%29
    For tutors: simplify_cartoon( -4*(x-2)+3x=6x+5-2x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -4%2A%28x-2%29%2B3%2Ax=6%2Ax%2Bhighlight_red%28+5+%29-2%2Ax.
Moved 5 to the right of expression
It becomes -4%2A%28x-2%29%2B3%2Ax=6%2Ax-2%2Ax%2Bhighlight_green%28+5+%29.
Look at -4%2A%28x-2%29%2B3%2Ax=highlight_red%28+6%2Ax+%29-highlight_red%28+2%2Ax+%29%2B5.
Eliminated similar terms highlight_red%28+6%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%286-2%29%2Ax+%29
It becomes -4%2A%28x-2%29%2B3%2Ax=highlight_green%28+%286-2%29%2Ax+%29%2B5.
Look at -4%2A%28x-2%29%2B3%2Ax=%28highlight_red%28+6+%29-highlight_red%28+2+%29%29%2Ax%2B5.
Added fractions or integers together
It becomes -4%2A%28x-2%29%2B3%2Ax=%28highlight_green%28+4+%29%29%2Ax%2B5.
Look at -4%2A%28x-2%29%2B3%2Ax=highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B5.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes -4%2A%28x-2%29%2B3%2Ax=highlight_green%28+4+%29%2Ax%2B5.
Look at -4%2A%28x-2%29%2B3%2Ax=highlight_red%28+4%2Ax%2B5+%29.
Moved these terms to the left highlight_green%28+-4%2Ax+%29,highlight_green%28+-5+%29
It becomes -4%2A%28x-2%29%2B3%2Ax-highlight_green%28+4%2Ax+%29-highlight_green%28+5+%29=0.
Look at -4%2A%28x-2%29%2Bhighlight_red%28+3%2Ax+%29-highlight_red%28+4%2Ax+%29-5=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-4%2Ax+%29 replacing them with highlight_green%28+%283-4%29%2Ax+%29
It becomes -4%2A%28x-2%29%2Bhighlight_green%28+%283-4%29%2Ax+%29-5=0.
Look at -4%2A%28x-2%29%2B%28highlight_red%28+3+%29-highlight_red%28+4+%29%29%2Ax-5=0.
Added fractions or integers together
It becomes -4%2A%28x-2%29%2B%28highlight_green%28+-1+%29%29%2Ax-5=0.
Look at -4%2A%28x-2%29%2B%28highlight_red%28+-1+%29%29%2Ax-5=0.
Removed extra sign in front of -1
It becomes -4%2A%28x-2%29%2B%28-highlight_green%28+1+%29%29%2Ax-5=0.
Look at -4%2A%28x-2%29%2Bhighlight_red%28+%28-highlight_red%28+1+%29%29%2Ax+%29-5=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -4%2A%28x-2%29-highlight_green%28+1+%29%2Ax-5=0.
Look at -4%2A%28x-2%29-highlight_red%28+1+%29%2Ax-5=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -4%2A%28x-2%29-x-5=0.
Look at -highlight_red%28+4%2A%28x-2%29+%29-x-5=0.
Expanded term -4 by using associative property on %28x-2%29
It becomes -highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A2+%29-x-5=0.
Look at -4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29-x-5=0.
Multiplied numerator integers
It becomes -4%2Ax%2Bhighlight_green%28+8+%29-x-5=0.
Look at -4%2Ax%2Bhighlight_red%28+8+%29-x-highlight_red%28+5+%29=0.
Added fractions or integers together
It becomes -4%2Ax%2Bhighlight_green%28+3+%29-x=0.
Look at -4%2Ax%2Bhighlight_red%28+3+%29-x=0.
Moved 3 to the right of expression
It becomes -4%2Ax-x%2Bhighlight_green%28+3+%29=0.
Look at -highlight_red%28+4%2Ax+%29-highlight_red%28+x+%29%2B3=0.
Eliminated similar terms highlight_red%28+-4%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%28-4-1%29%2Ax+%29
It becomes highlight_green%28+%28-4-1%29%2Ax+%29%2B3=0.
Look at %28-highlight_red%28+4+%29-highlight_red%28+1+%29%29%2Ax%2B3=0.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2Ax%2B3=0.
Look at %28highlight_red%28+-5+%29%29%2Ax%2B3=0.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2Ax%2B3=0.
Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2Ax+%29%2B3=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2Ax%2B3=0.
Look at highlight_red%28+-5%2Ax%2B3+%29=0.
Solved linear equation highlight_red%28+-5%2Ax%2B3=0+%29 equivalent to -5*x+3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=0.6.

Universal Simplifier and Solver


Done!

Hope this helps!