document.write( "Question 640777: what is the equation for the equivalent to 2(3x-1)=14-x? \n" ); document.write( "

Algebra.Com's Answer #403448 by asuar010(338) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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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.

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DETAILED EXPLANATION

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Look at $\"2%2A%283%2Ax-1%29=highlight_red%28+14+%29-x\"$ .
Moved $\"14\"$ to the right of expression
It becomes $\"2%2A%283%2Ax-1%29=-x%2Bhighlight_green%28+14+%29\"$ .
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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 $\"2%2A%283%2Ax-1%29%2Bhighlight_green%28+x+%29-highlight_green%28+14+%29=0\"$ .
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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 $\"highlight_green%28+2%2A3%2Ax+%29-highlight_green%28+2%2A1+%29%2Bx-14=0\"$ .
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Look at $\"highlight_red%28+2+%29%2Ahighlight_red%28+3+%29%2Ax-2%2A1%2Bx-14=0\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+6+%29%2Ax-2%2A1%2Bx-14=0\"$ .
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Look at $\"6%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2Bx-14=0\"$ .
Multiplied numerator integers
It becomes $\"6%2Ax-highlight_green%28+2+%29%2Bx-14=0\"$ .
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Look at $\"6%2Ax-highlight_red%28+2+%29%2Bx-highlight_red%28+14+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Ax%2Bhighlight_green%28+-16+%29%2Bx=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+-16+%29%2Bx=0\"$ .
Moved $\"-16\"$ to the right of expression
It becomes $\"6%2Ax%2Bx%2Bhighlight_green%28+-16+%29=0\"$ .
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Look at $\"6%2Ax%2Bx%2Bhighlight_red%28+-16+%29=0\"$ .
Removed extra sign in front of $\"-16\"$
It becomes $\"6%2Ax%2Bx-highlight_green%28+16+%29=0\"$ .
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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 $\"highlight_green%28+%286%2B1%29%2Ax+%29-16=0\"$ .
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Look at $\"%28highlight_red%28+6+%29%2Bhighlight_red%28+1+%29%29%2Ax-16=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+7+%29%29%2Ax-16=0\"$ .
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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 $\"highlight_green%28+7+%29%2Ax-16=0\"$ .
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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: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=2.28571428571429.

Universal Simplifier and Solver

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Done!

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