document.write( "Question 19131: 3(d-8)-5=9(d+2)+1 \n" ); document.write( "

Algebra.Com's Answer #9193 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

This is an equation! Solutions: d=-8.
Graphical form: Equation $\"3%2A%28d-8%29-5=9%2A%28d%2B2%29%2B1\"$ was fully solved.
Text form: 3*(d-8)-5=9*(d+2)+1 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+3%2A%28d-8%29-5=9%2A%28d%2B2%29%2B1+%29\"$
For tutors: simplify_cartoon( 3*(d-8)-5=9*(d+2)+1 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"3%2A%28d-8%29-5=highlight_red%28+9%2A%28d%2B2%29%2B1+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-9%2A%28d%2B2%29+%29\"$ , $\"highlight_green%28+-1+%29\"$
It becomes $\"3%2A%28d-8%29-5-highlight_green%28+9%2A%28d%2B2%29+%29-highlight_green%28+1+%29=0\"$ .
\n" ); document.write( "

Look at $\"3%2A%28d-8%29-highlight_red%28+5+%29-9%2A%28d%2B2%29-highlight_red%28+1+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2A%28d-8%29%2Bhighlight_green%28+-6+%29-9%2A%28d%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"3%2A%28d-8%29%2Bhighlight_red%28+-6+%29-9%2A%28d%2B2%29=0\"$ .
Moved $\"-6\"$ to the right of expression
It becomes $\"3%2A%28d-8%29-9%2A%28d%2B2%29%2Bhighlight_green%28+-6+%29=0\"$ .
\n" ); document.write( "

Look at $\"3%2A%28d-8%29-9%2A%28d%2B2%29%2Bhighlight_red%28+-6+%29=0\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"3%2A%28d-8%29-9%2A%28d%2B2%29-highlight_green%28+6+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+3%2A%28d-8%29+%29-9%2A%28d%2B2%29-6=0\"$ .
Expanded term $\"3\"$ by using associative property on $\"%28d-8%29\"$
It becomes $\"highlight_green%28+3%2Ad+%29-highlight_green%28+3%2A8+%29-9%2A%28d%2B2%29-6=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad-highlight_red%28+3+%29%2Ahighlight_red%28+8+%29-9%2A%28d%2B2%29-6=0\"$ .
Multiplied numerator integers
It becomes $\"3%2Ad-highlight_green%28+24+%29-9%2A%28d%2B2%29-6=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad-highlight_red%28+24+%29-9%2A%28d%2B2%29-highlight_red%28+6+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2Ad%2Bhighlight_green%28+-30+%29-9%2A%28d%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad%2Bhighlight_red%28+-30+%29-9%2A%28d%2B2%29=0\"$ .
Moved $\"-30\"$ to the right of expression
It becomes $\"3%2Ad-9%2A%28d%2B2%29%2Bhighlight_green%28+-30+%29=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad-9%2A%28d%2B2%29%2Bhighlight_red%28+-30+%29=0\"$ .
Removed extra sign in front of $\"-30\"$
It becomes $\"3%2Ad-9%2A%28d%2B2%29-highlight_green%28+30+%29=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad-highlight_red%28+9%2A%28d%2B2%29+%29-30=0\"$ .
Expanded term $\"-9\"$ by using associative property on $\"%28d%2B2%29\"$
It becomes $\"3%2Ad-highlight_green%28+9%2Ad+%29-highlight_green%28+9%2A2+%29-30=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad-9%2Ad-highlight_red%28+9+%29%2Ahighlight_red%28+2+%29-30=0\"$ .
Multiplied numerator integers
It becomes $\"3%2Ad-9%2Ad-highlight_green%28+18+%29-30=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad-9%2Ad-highlight_red%28+18+%29-highlight_red%28+30+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2Ad-9%2Ad%2Bhighlight_green%28+-48+%29=0\"$ .
\n" ); document.write( "

Look at $\"3%2Ad-9%2Ad%2Bhighlight_red%28+-48+%29=0\"$ .
Removed extra sign in front of $\"-48\"$
It becomes $\"3%2Ad-9%2Ad-highlight_green%28+48+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+3%2Ad+%29-highlight_red%28+9%2Ad+%29-48=0\"$ .
Eliminated similar terms $\"highlight_red%28+3%2Ad+%29\"$ , $\"highlight_red%28+-9%2Ad+%29\"$ replacing them with $\"highlight_green%28+%283-9%29%2Ad+%29\"$
It becomes $\"highlight_green%28+%283-9%29%2Ad+%29-48=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+3+%29-highlight_red%28+9+%29%29%2Ad-48=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-6+%29%29%2Ad-48=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-6+%29%29%2Ad-48=0\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"%28-highlight_green%28+6+%29%29%2Ad-48=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+6+%29%29%2Ad+%29-48=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"-highlight_green%28+6+%29%2Ad-48=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+-6%2Ad-48+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-6%2Ad-48=0+%29\"$ equivalent to -6*d-48 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: d=-8.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "\n" ); document.write( "Hope this helps! \n" ); document.write( "

\n" );