SOLUTION: 3x+3+x=7+2x+1+x

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Question 24832: 3x+3+x=7+2x+1+x
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=5.
  • Graphical form: Equation 3x%2B3%2Bx=7%2B2x%2B1%2Bx was fully solved.
  • Text form: 3x+3+x=7+2x+1+x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3x%2B3%2Bx=7%2B2x%2B1%2Bx+%29
    For tutors: simplify_cartoon( 3x+3+x=7+2x+1+x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2Ax%2Bhighlight_red%28+3+%29%2Bx=7%2B2x%2B1%2Bx.
Moved 3 to the right of expression
It becomes 3%2Ax%2Bx%2Bhighlight_green%28+3+%29=7%2B2x%2B1%2Bx.
Look at highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+x+%29%2B3=7%2B2x%2B1%2Bx.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%283%2B1%29%2Ax+%29
It becomes highlight_green%28+%283%2B1%29%2Ax+%29%2B3=7%2B2x%2B1%2Bx.
Look at %28highlight_red%28+3+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B3=7%2B2x%2B1%2Bx.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax%2B3=7%2B2x%2B1%2Bx.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B3=7%2B2x%2B1%2Bx.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax%2B3=7%2B2x%2B1%2Bx.
Look at 4%2Ax%2B3=highlight_red%28+7+%29%2B2%2Ax%2Bhighlight_red%28+1+%29%2Bx.
Added fractions or integers together
It becomes 4%2Ax%2B3=highlight_green%28+8+%29%2B2%2Ax%2Bx.
Look at 4%2Ax%2B3=highlight_red%28+8+%29%2B2%2Ax%2Bx.
Moved 8 to the right of expression
It becomes 4%2Ax%2B3=2%2Ax%2Bx%2Bhighlight_green%28+8+%29.
Look at 4%2Ax%2B3=highlight_red%28+2%2Ax+%29%2Bhighlight_red%28+x+%29%2B8.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%282%2B1%29%2Ax+%29
It becomes 4%2Ax%2B3=highlight_green%28+%282%2B1%29%2Ax+%29%2B8.
Look at 4%2Ax%2B3=%28highlight_red%28+2+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B8.
Added fractions or integers together
It becomes 4%2Ax%2B3=%28highlight_green%28+3+%29%29%2Ax%2B8.
Look at 4%2Ax%2B3=highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29%2B8.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes 4%2Ax%2B3=highlight_green%28+3+%29%2Ax%2B8.
Look at 4%2Ax%2B3=highlight_red%28+3%2Ax%2B8+%29.
Moved these terms to the left highlight_green%28+-3%2Ax+%29,highlight_green%28+-8+%29
It becomes 4%2Ax%2B3-highlight_green%28+3%2Ax+%29-highlight_green%28+8+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+3+%29-3%2Ax-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-5+%29-3%2Ax=0.
Look at 4%2Ax%2Bhighlight_red%28+-5+%29-3%2Ax=0.
Moved -5 to the right of expression
It becomes 4%2Ax-3%2Ax%2Bhighlight_green%28+-5+%29=0.
Look at 4%2Ax-3%2Ax%2Bhighlight_red%28+-5+%29=0.
Removed extra sign in front of -5
It becomes 4%2Ax-3%2Ax-highlight_green%28+5+%29=0.
Look at highlight_red%28+4%2Ax+%29-highlight_red%28+3%2Ax+%29-5=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%284-3%29%2Ax+%29
It becomes highlight_green%28+%284-3%29%2Ax+%29-5=0.
Look at highlight_red%28+%284-3%29+%29%2Ax-5=0.
Remove extraneous '1' from product highlight_red%28+%284-3%29+%29
It becomes x-5=0.
Look at highlight_red%28+x-5+%29=0.
Solved linear equation highlight_red%28+x-5=0+%29 equivalent to x-5 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=5.

Universal Simplifier and Solver


Done!

Hope this helps!