SOLUTION: What does the x stand for in this equation: X+2+2x=x+10

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Question 817582: What does the x stand for in this equation:
X+2+2x=x+10
Answer by VictoryStar(6) About Me  (Show Source):
You can put this solution on YOUR website!
Your question is x+2+2x=x+10
Since there isn't any distribution to be done, I recommend the next step to be combine like terms, which means everything that ends with the same variable be added. (So 4x+2x+y would be 6x+y)
This gives you 3x+2=x+10, where you would then proceed to solve.
Subtract x from both sides, (3x-x=2x, x-x=0), giving you 2x+2=10
Then subtract two from both sides, (2-2= 0, 10-2=8), giving you 2x=8
Simplify, by dividing both with 2. (2x/2=x, 8/2=4), giving you x=4
Put in 4 as x, to check you work. 4+2+2(4)=4+10, 4+2+8=14, 14=14, therefore, it is correct.
Alternatively;
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=4.
  • Graphical form: Equation x%2B2%2B2x=x%2B10 was fully solved.
  • Text form: x+2+2x=x+10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B2%2B2x=x%2B10+%29
    For tutors: simplify_cartoon( x+2+2x=x+10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%2Bhighlight_red%28+2+%29%2B2%2Ax=x%2B10.
Moved 2 to the right of expression
It becomes x%2B2%2Ax%2Bhighlight_green%28+2+%29=x%2B10.
Look at highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2B2=x%2B10.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%281%2B2%29%2Ax+%29
It becomes highlight_green%28+%281%2B2%29%2Ax+%29%2B2=x%2B10.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B2=x%2B10.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax%2B2=x%2B10.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29%2B2=x%2B10.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax%2B2=x%2B10.
Look at 3%2Ax%2B2=highlight_red%28+x%2B10+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-10+%29
It becomes 3%2Ax%2B2-highlight_green%28+x+%29-highlight_green%28+10+%29=0.
Look at 3%2Ax%2Bhighlight_red%28+2+%29-x-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-8+%29-x=0.
Look at 3%2Ax%2Bhighlight_red%28+-8+%29-x=0.
Moved -8 to the right of expression
It becomes 3%2Ax-x%2Bhighlight_green%28+-8+%29=0.
Look at 3%2Ax-x%2Bhighlight_red%28+-8+%29=0.
Removed extra sign in front of -8
It becomes 3%2Ax-x-highlight_green%28+8+%29=0.
Look at highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29-8=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%283-1%29%2Ax+%29
It becomes highlight_green%28+%283-1%29%2Ax+%29-8=0.
Look at %28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax-8=0.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax-8=0.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29-8=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax-8=0.
Look at highlight_red%28+2%2Ax-8+%29=0.
Solved linear equation highlight_red%28+2%2Ax-8=0+%29 equivalent to 2*x-8 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=4.

Universal Simplifier and Solver


Done!