document.write( "Question 922353: 6x+8=x+8+3 (6x+8)\r
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Algebra.Com's Answer #559487 by srinivas.g(540) $\"\"$ $\"About$

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=-1.84615384615385.
Graphical form: Equation $\"6x%2B8=x%2B8%2B3%2A%286x%2B8%29\"$ was fully solved.
Text form: 6x+8=x+8+3*(6x+8) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+6x%2B8=x%2B8%2B3%2A%286x%2B8%29+%29\"$
For tutors: simplify_cartoon( 6x+8=x+8+3*(6x+8) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"6%2Ax%2B8=x%2Bhighlight_red%28+8+%29%2B3%2A%286%2Ax%2B8%29\"$ .
Moved $\"8\"$ to the right of expression
It becomes $\"6%2Ax%2B8=x%2B3%2A%286%2Ax%2B8%29%2Bhighlight_green%28+8+%29\"$ .
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Look at $\"6%2Ax%2B8=highlight_red%28+x%2B3%2A%286%2Ax%2B8%29%2B8+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+-3%2A%286%2Ax%2B8%29+%29\"$ , $\"highlight_green%28+-8+%29\"$
It becomes

.
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Look at $\"6%2Ax%2Bhighlight_red%28+8+%29-x-3%2A%286%2Ax%2B8%29-highlight_red%28+8+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Ax%2Bhighlight_green%28+0+%29-x-3%2A%286%2Ax%2B8%29=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+0+%29-x-3%2A%286%2Ax%2B8%29=0\"$ .
Moved $\"0\"$ to the right of expression
It becomes $\"6%2Ax-x-3%2A%286%2Ax%2B8%29%2Bhighlight_green%28+0+%29=0\"$ .
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Look at $\"6%2Ax-x-3%2A%286%2Ax%2B8%29%2Bhighlight_red%28+0+%29=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"6%2Ax-x-3%2A%286%2Ax%2B8%29=0\"$ .
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Look at $\"highlight_red%28+6%2Ax+%29-highlight_red%28+x+%29-3%2A%286%2Ax%2B8%29=0\"$ .
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 $\"highlight_green%28+%286-1%29%2Ax+%29-3%2A%286%2Ax%2B8%29=0\"$ .
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Look at $\"%28highlight_red%28+6+%29-highlight_red%28+1+%29%29%2Ax-3%2A%286%2Ax%2B8%29=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+5+%29%29%2Ax-3%2A%286%2Ax%2B8%29=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-3%2A%286%2Ax%2B8%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"highlight_green%28+5+%29%2Ax-3%2A%286%2Ax%2B8%29=0\"$ .
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Look at $\"5%2Ax-highlight_red%28+3%2A%286%2Ax%2B8%29+%29=0\"$ .
Expanded term $\"-3\"$ by using associative property on $\"%286%2Ax%2B8%29\"$
It becomes $\"5%2Ax-highlight_green%28+3%2A6%2Ax+%29-highlight_green%28+3%2A8+%29=0\"$ .
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Look at $\"5%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+6+%29%2Ax-3%2A8=0\"$ .
Multiplied numerator integers
It becomes $\"5%2Ax-highlight_green%28+18+%29%2Ax-3%2A8=0\"$ .
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Look at $\"5%2Ax-18%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+8+%29=0\"$ .
Multiplied numerator integers
It becomes $\"5%2Ax-18%2Ax-highlight_green%28+24+%29=0\"$ .
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Look at $\"highlight_red%28+5%2Ax+%29-highlight_red%28+18%2Ax+%29-24=0\"$ .
Eliminated similar terms $\"highlight_red%28+5%2Ax+%29\"$ , $\"highlight_red%28+-18%2Ax+%29\"$ replacing them with $\"highlight_green%28+%285-18%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%285-18%29%2Ax+%29-24=0\"$ .
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Look at $\"%28highlight_red%28+5+%29-highlight_red%28+18+%29%29%2Ax-24=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-13+%29%29%2Ax-24=0\"$ .
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Look at $\"%28highlight_red%28+-13+%29%29%2Ax-24=0\"$ .
Removed extra sign in front of $\"-13\"$
It becomes $\"%28-highlight_green%28+13+%29%29%2Ax-24=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+13+%29%29%2Ax+%29-24=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+13+%29\"$
It becomes $\"-highlight_green%28+13+%29%2Ax-24=0\"$ .
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Look at $\"highlight_red%28+-13%2Ax-24+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-13%2Ax-24=0+%29\"$ equivalent to -13*x-24 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-1.84615384615385.

Universal Simplifier and Solver

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Done!

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