document.write( "Question 231364: Please solve this equation.
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\n" ); document.write( "6x-7=(103-x)+2x
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Algebra.Com's Answer #171254 by bamaboy(14) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values

Your Result:

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This is an equation! Solutions: x=22.
Graphical form: Equation $\"6x-7=%28103-x%29%2B2x\"$ was fully solved.
Text form: 6x-7=(103-x)+2x simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+6x-7=%28103-x%29%2B2x+%29\"$
For tutors: simplify_cartoon( 6x-7=(103-x)+2x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"6%2Ax-7=highlight_red%28+%28103-x%29+%29%2B2%2Ax\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+103+%29\"$ , $\"highlight_red%28+-x+%29\"$
It becomes $\"6%2Ax-7=highlight_green%28+103+%29-highlight_green%28+x+%29%2B2%2Ax\"$ .
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Look at $\"6%2Ax-7=highlight_red%28+103+%29-x%2B2%2Ax\"$ .
Moved $\"103\"$ to the right of expression
It becomes $\"6%2Ax-7=-x%2B2%2Ax%2Bhighlight_green%28+103+%29\"$ .
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Look at $\"6%2Ax-7=-highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2B103\"$ .
Eliminated similar terms $\"highlight_red%28+-x+%29\"$ , $\"highlight_red%28+2%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-1%2B2%29%2Ax+%29\"$
It becomes $\"6%2Ax-7=highlight_green%28+%28-1%2B2%29%2Ax+%29%2B103\"$ .
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Look at $\"6%2Ax-7=highlight_red%28+%28-1%2B2%29+%29%2Ax%2B103\"$ .
Remove extraneous '1' from product $\"highlight_red%28+%28-1%2B2%29+%29\"$
It becomes $\"6%2Ax-7=x%2B103\"$ .
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Look at $\"6%2Ax-7=highlight_red%28+x%2B103+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+-103+%29\"$
It becomes $\"6%2Ax-7-highlight_green%28+x+%29-highlight_green%28+103+%29=0\"$ .
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Look at $\"6%2Ax-highlight_red%28+7+%29-x-highlight_red%28+103+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Ax%2Bhighlight_green%28+-110+%29-x=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+-110+%29-x=0\"$ .
Moved $\"-110\"$ to the right of expression
It becomes $\"6%2Ax-x%2Bhighlight_green%28+-110+%29=0\"$ .
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Look at $\"6%2Ax-x%2Bhighlight_red%28+-110+%29=0\"$ .
Removed extra sign in front of $\"-110\"$
It becomes $\"6%2Ax-x-highlight_green%28+110+%29=0\"$ .
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Look at $\"highlight_red%28+6%2Ax+%29-highlight_red%28+x+%29-110=0\"$ .
Eliminated similar terms $\"highlight_red%28+6%2Ax+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%286-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%286-1%29%2Ax+%29-110=0\"$ .
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Look at $\"%28highlight_red%28+6+%29-highlight_red%28+1+%29%29%2Ax-110=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+5+%29%29%2Ax-110=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-110=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"highlight_green%28+5+%29%2Ax-110=0\"$ .
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Look at $\"highlight_red%28+5%2Ax-110+%29=0\"$ .
Solved linear equation $\"highlight_red%28+5%2Ax-110=0+%29\"$ equivalent to 5*x-110 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=22.

Universal Simplifier and Solver

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Done!

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