SOLUTION: if 2 is added to a number and the Sum is tripled, the result is Ten more than the number. find the number

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Question 858073: if 2 is added to a number and the Sum is tripled, the result is Ten more than the number.
find the number

Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
In equation form: %28x%2B2%293=10%2Bx (because the number + 2)tripled= ten more than the number

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


YOUR ANSWER


  • This is an equation! Solutions: x=2.
  • Graphical form: Equation %28x%2B2%29%2A3=10%2Bx was fully solved.
  • Text form: (x+2)*3=10+x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28x%2B2%29%2A3=10%2Bx+%29
    For tutors: simplify_cartoon( (x+2)*3=10+x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at %28x%2B2%29%2A3=highlight_red%28+10+%29%2Bx.
Moved 10 to the right of expression
It becomes %28x%2B2%29%2A3=x%2Bhighlight_green%28+10+%29.

Look at %28x%2B2%29%2A3=highlight_red%28+x%2B10+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-10+%29
It becomes %28x%2B2%29%2A3-highlight_green%28+x+%29-highlight_green%28+10+%29=0.

Look at highlight_red%28+%28x%2B2%29%2A3+%29-x-10=0.
Expanded term 3 by using associative property on %28x%2B2%29
It becomes highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A2+%29-x-10=0.

Look at 3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+2+%29-x-10=0.
Multiplied numerator integers
It becomes 3%2Ax%2Bhighlight_green%28+6+%29-x-10=0.

Look at 3%2Ax%2Bhighlight_red%28+6+%29-x-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-4+%29-x=0.

Look at 3%2Ax%2Bhighlight_red%28+-4+%29-x=0.
Moved -4 to the right of expression
It becomes 3%2Ax-x%2Bhighlight_green%28+-4+%29=0.

Look at 3%2Ax-x%2Bhighlight_red%28+-4+%29=0.
Removed extra sign in front of -4
It becomes 3%2Ax-x-highlight_green%28+4+%29=0.

Look at highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29-4=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+%29-4=0.

Look at %28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax-4=0.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax-4=0.

Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29-4=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax-4=0.

Look at highlight_red%28+2%2Ax-4+%29=0.
Solved linear equation highlight_red%28+2%2Ax-4=0+%29 equivalent to 2*x-4 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=2.

Universal Simplifier and Solver


Done!