document.write( "Question 382792: 3a+2(a-1)=7a-4(a+2) \n" ); document.write( "

Algebra.Com's Answer #271181 by ichudov(507) $\"\"$ $\"About$

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: a=-3.
Graphical form: Equation $\"3a%2B2%2A%28a-1%29=7a-4%2A%28a%2B2%29\"$ was fully solved.
Text form: 3a+2*(a-1)=7a-4*(a+2) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+3a%2B2%2A%28a-1%29=7a-4%2A%28a%2B2%29+%29\"$
For tutors: simplify_cartoon( 3a+2*(a-1)=7a-4*(a+2) )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"3%2Aa%2B2%2A%28a-1%29=highlight_red%28+7%2Aa-4%2A%28a%2B2%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-7%2Aa+%29\"$ , $\"highlight_green%28+4%2A%28a%2B2%29+%29\"$
It becomes

.
\n" ); document.write( "

Look at $\"highlight_red%28+3%2Aa+%29%2B2%2A%28a-1%29-highlight_red%28+7%2Aa+%29%2B4%2A%28a%2B2%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+3%2Aa+%29\"$ , $\"highlight_red%28+-7%2Aa+%29\"$ replacing them with $\"highlight_green%28+%283-7%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%283-7%29%2Aa+%29%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+3+%29-highlight_red%28+7+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-4+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-4+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0\"$ .
Removed extra sign in front of $\"-4\"$
It becomes $\"%28-highlight_green%28+4+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+4+%29%29%2Aa+%29%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"-highlight_green%28+4+%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"-4%2Aa%2Bhighlight_red%28+2%2A%28a-1%29+%29%2B4%2A%28a%2B2%29=0\"$ .
Expanded term $\"2\"$ by using associative property on $\"%28a-1%29\"$
It becomes $\"-4%2Aa%2Bhighlight_green%28+2%2Aa+%29-highlight_green%28+2%2A1+%29%2B4%2A%28a%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"-4%2Aa%2B2%2Aa-highlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2B4%2A%28a%2B2%29=0\"$ .
Multiplied numerator integers
It becomes $\"-4%2Aa%2B2%2Aa-highlight_green%28+2+%29%2B4%2A%28a%2B2%29=0\"$ .
\n" ); document.write( "

Look at $\"-4%2Aa%2B2%2Aa-highlight_red%28+2+%29%2B4%2A%28a%2B2%29=0\"$ .
Moved $\"-2\"$ to the right of expression
It becomes $\"-4%2Aa%2B2%2Aa%2B4%2A%28a%2B2%29-highlight_green%28+2+%29=0\"$ .
\n" ); document.write( "

Look at $\"-highlight_red%28+4%2Aa+%29%2Bhighlight_red%28+2%2Aa+%29%2B4%2A%28a%2B2%29-2=0\"$ .
Eliminated similar terms $\"highlight_red%28+-4%2Aa+%29\"$ , $\"highlight_red%28+2%2Aa+%29\"$ replacing them with $\"highlight_green%28+%28-4%2B2%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%28-4%2B2%29%2Aa+%29%2B4%2A%28a%2B2%29-2=0\"$ .
\n" ); document.write( "

Look at $\"%28-highlight_red%28+4+%29%2Bhighlight_red%28+2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0\"$ .
Removed extra sign in front of $\"-2\"$
It becomes $\"%28-highlight_green%28+2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+2+%29%29%2Aa+%29%2B4%2A%28a%2B2%29-2=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"-highlight_green%28+2+%29%2Aa%2B4%2A%28a%2B2%29-2=0\"$ .
\n" ); document.write( "

Look at $\"-2%2Aa%2Bhighlight_red%28+4%2A%28a%2B2%29+%29-2=0\"$ .
Expanded term $\"4\"$ by using associative property on $\"%28a%2B2%29\"$
It becomes $\"-2%2Aa%2Bhighlight_green%28+4%2Aa+%29%2Bhighlight_green%28+4%2A2+%29-2=0\"$ .
\n" ); document.write( "

Look at $\"-2%2Aa%2B4%2Aa%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29-2=0\"$ .
Multiplied numerator integers
It becomes $\"-2%2Aa%2B4%2Aa%2Bhighlight_green%28+8+%29-2=0\"$ .
\n" ); document.write( "

Look at $\"-2%2Aa%2B4%2Aa%2Bhighlight_red%28+8+%29-highlight_red%28+2+%29=0\"$ .
Added fractions or integers together
It becomes $\"-2%2Aa%2B4%2Aa%2Bhighlight_green%28+6+%29=0\"$ .
\n" ); document.write( "

Look at $\"-highlight_red%28+2%2Aa+%29%2Bhighlight_red%28+4%2Aa+%29%2B6=0\"$ .
Eliminated similar terms $\"highlight_red%28+-2%2Aa+%29\"$ , $\"highlight_red%28+4%2Aa+%29\"$ replacing them with $\"highlight_green%28+%28-2%2B4%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%28-2%2B4%29%2Aa+%29%2B6=0\"$ .
\n" ); document.write( "

Look at $\"%28-highlight_red%28+2+%29%2Bhighlight_red%28+4+%29%29%2Aa%2B6=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2Aa%2B6=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+2+%29%29%2Aa+%29%2B6=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+2+%29%2Aa%2B6=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+2%2Aa%2B6+%29=0\"$ .
Solved linear equation $\"highlight_red%28+2%2Aa%2B6=0+%29\"$ equivalent to 2*a+6 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: a=-3.

Universal Simplifier and Solver

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

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

\n" );