SOLUTION: What is the answer to this equation: 5x=+10-6x+3=6-2x-2 and can you tell me how you solved it please and thank you

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Question 213849: What is the answer to this equation: 5x=+10-6x+3=6-2x-2 and can you tell me how you solved it please and thank you
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What is the answer to this equation: 5x+10-6x+3=6-2x-2 and can you tell me how you solved it please and thank you

The following steps will solve the following equation: 5x%2B10-6x%2B3=6-2x-2

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-9.
  • Graphical form: Equation 5x%2B10-6x%2B3=6-2x-2 was fully solved.
  • Text form: 5x+10-6x+3=6-2x-2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5x%2B10-6x%2B3=6-2x-2+%29
    For tutors: simplify_cartoon( 5x+10-6x+3=6-2x-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at 5%2Ax%2Bhighlight_red%28+10+%29-6%2Ax%2Bhighlight_red%28+3+%29=6-2x-2.
Added fractions or integers together
It becomes 5%2Ax%2Bhighlight_green%28+13+%29-6%2Ax=6-2x-2.

Look at 5%2Ax%2Bhighlight_red%28+13+%29-6%2Ax=6-2x-2.
Moved 13 to the right of expression
It becomes 5%2Ax-6%2Ax%2Bhighlight_green%28+13+%29=6-2x-2.

Look at highlight_red%28+5%2Ax+%29-highlight_red%28+6%2Ax+%29%2B13=6-2x-2.
Eliminated similar terms highlight_red%28+5%2Ax+%29,highlight_red%28+-6%2Ax+%29 replacing them with highlight_green%28+%285-6%29%2Ax+%29
It becomes highlight_green%28+%285-6%29%2Ax+%29%2B13=6-2x-2.

Look at %28highlight_red%28+5+%29-highlight_red%28+6+%29%29%2Ax%2B13=6-2x-2.
Added fractions or integers together
It becomes %28highlight_green%28+-1+%29%29%2Ax%2B13=6-2x-2.

Look at %28highlight_red%28+-1+%29%29%2Ax%2B13=6-2x-2.
Removed extra sign in front of -1
It becomes %28-highlight_green%28+1+%29%29%2Ax%2B13=6-2x-2.

Look at highlight_red%28+%28-highlight_red%28+1+%29%29%2Ax+%29%2B13=6-2x-2.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -highlight_green%28+1+%29%2Ax%2B13=6-2x-2.

Look at -highlight_red%28+1+%29%2Ax%2B13=6-2x-2.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -x%2B13=6-2x-2.

Look at -x%2B13=highlight_red%28+6+%29-2%2Ax-highlight_red%28+2+%29.
Added fractions or integers together
It becomes -x%2B13=highlight_green%28+4+%29-2%2Ax.

Look at -x%2B13=highlight_red%28+4+%29-2%2Ax.
Moved 4 to the right of expression
It becomes -x%2B13=-2%2Ax%2Bhighlight_green%28+4+%29.

Look at -x%2B13=highlight_red%28+-2%2Ax%2B4+%29.
Moved these terms to the left highlight_green%28+2%2Ax+%29,highlight_green%28+-4+%29
It becomes -x%2B13%2Bhighlight_green%28+2%2Ax+%29-highlight_green%28+4+%29=0.

Look at -x%2Bhighlight_red%28+13+%29%2B2%2Ax-highlight_red%28+4+%29=0.
Added fractions or integers together
It becomes -x%2Bhighlight_green%28+9+%29%2B2%2Ax=0.

Look at -x%2Bhighlight_red%28+9+%29%2B2%2Ax=0.
Moved 9 to the right of expression
It becomes -x%2B2%2Ax%2Bhighlight_green%28+9+%29=0.

Look at -highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2B9=0.
Eliminated similar terms highlight_red%28+-x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%28-1%2B2%29%2Ax+%29
It becomes highlight_green%28+%28-1%2B2%29%2Ax+%29%2B9=0.

Look at highlight_red%28+%28-1%2B2%29+%29%2Ax%2B9=0.
Remove extraneous '1' from product highlight_red%28+%28-1%2B2%29+%29
It becomes x%2B9=0.

Look at highlight_red%28+x%2B9+%29=0.
Solved linear equation highlight_red%28+x%2B9=0+%29 equivalent to x+9 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-9.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J