SOLUTION: what is the equation for the equivalent to 2(3x-1)=14-x?

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Question 640777: what is the equation for the equivalent to 2(3x-1)=14-x?
Answer by asuar010(338) 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=2.28571428571429.
  • Graphical form: Equation 2%2A%283x-1%29=14-x was fully solved.
  • Text form: 2*(3x-1)=14-x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2%2A%283x-1%29=14-x+%29
    For tutors: simplify_cartoon( 2*(3x-1)=14-x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2A%283%2Ax-1%29=highlight_red%28+14+%29-x.
Moved 14 to the right of expression
It becomes 2%2A%283%2Ax-1%29=-x%2Bhighlight_green%28+14+%29.
Look at 2%2A%283%2Ax-1%29=highlight_red%28+-x%2B14+%29.
Moved these terms to the left highlight_green%28+x+%29,highlight_green%28+-14+%29
It becomes 2%2A%283%2Ax-1%29%2Bhighlight_green%28+x+%29-highlight_green%28+14+%29=0.
Look at highlight_red%28+2%2A%283%2Ax-1%29+%29%2Bx-14=0.
Expanded term 2 by using associative property on %283%2Ax-1%29
It becomes highlight_green%28+2%2A3%2Ax+%29-highlight_green%28+2%2A1+%29%2Bx-14=0.
Look at highlight_red%28+2+%29%2Ahighlight_red%28+3+%29%2Ax-2%2A1%2Bx-14=0.
Multiplied numerator integers
It becomes highlight_green%28+6+%29%2Ax-2%2A1%2Bx-14=0.
Look at 6%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2Bx-14=0.
Multiplied numerator integers
It becomes 6%2Ax-highlight_green%28+2+%29%2Bx-14=0.
Look at 6%2Ax-highlight_red%28+2+%29%2Bx-highlight_red%28+14+%29=0.
Added fractions or integers together
It becomes 6%2Ax%2Bhighlight_green%28+-16+%29%2Bx=0.
Look at 6%2Ax%2Bhighlight_red%28+-16+%29%2Bx=0.
Moved -16 to the right of expression
It becomes 6%2Ax%2Bx%2Bhighlight_green%28+-16+%29=0.
Look at 6%2Ax%2Bx%2Bhighlight_red%28+-16+%29=0.
Removed extra sign in front of -16
It becomes 6%2Ax%2Bx-highlight_green%28+16+%29=0.
Look at highlight_red%28+6%2Ax+%29%2Bhighlight_red%28+x+%29-16=0.
Eliminated similar terms highlight_red%28+6%2Ax+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%286%2B1%29%2Ax+%29
It becomes highlight_green%28+%286%2B1%29%2Ax+%29-16=0.
Look at %28highlight_red%28+6+%29%2Bhighlight_red%28+1+%29%29%2Ax-16=0.
Added fractions or integers together
It becomes %28highlight_green%28+7+%29%29%2Ax-16=0.
Look at highlight_red%28+%28highlight_red%28+7+%29%29%2Ax+%29-16=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes highlight_green%28+7+%29%2Ax-16=0.
Look at highlight_red%28+7%2Ax-16+%29=0.
Solved linear equation highlight_red%28+7%2Ax-16=0+%29 equivalent to 7*x-16 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=2.28571428571429.

Universal Simplifier and Solver


Done!