document.write( "Question 22143: 2a+4.2=3a-1.6 \n" ); document.write( "

Algebra.Com's Answer #10688 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: a=5.8.
Graphical form: Equation $\"2a%2B4.2=3a-1.6\"$ was fully solved.
Text form: 2a+4.2=3a-1.6 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2a%2B4.2=3a-1.6+%29\"$
For tutors: simplify_cartoon( 2a+4.2=3a-1.6 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"2%2Aa%2B4.2=highlight_red%28+3%2Aa-1.6+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-3%2Aa+%29\"$ , $\"highlight_green%28+1.6+%29\"$
It becomes $\"2%2Aa%2B4.2-highlight_green%28+3%2Aa+%29%2Bhighlight_green%28+1.6+%29=0\"$ .
\n" ); document.write( "

Look at $\"2%2Aa%2Bhighlight_red%28+4.2+%29-3%2Aa%2Bhighlight_red%28+1.6+%29=0\"$ .
Added fractions or integers together
It becomes $\"2%2Aa%2Bhighlight_green%28+58%2F10+%29-3%2Aa=0\"$ .
\n" ); document.write( "

Look at $\"2%2Aa%2Bhighlight_red%28+58%2F10+%29-3%2Aa=0\"$ .
Moved $\"58%2F10\"$ to the right of expression
It becomes $\"2%2Aa-3%2Aa%2Bhighlight_green%28+58%2F10+%29=0\"$ .
\n" ); document.write( "

Look at $\"2%2Aa-3%2Aa%2Bhighlight_red%28+58+%29%2Fhighlight_red%28+10+%29=0\"$ .
Factors 58 and 10 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"2%2Aa-3%2Aa%2Bhighlight_green%28+29+%29%2Fhighlight_green%28+5+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+2%2Aa+%29-highlight_red%28+3%2Aa+%29%2B29%2F5=0\"$ .
Eliminated similar terms $\"highlight_red%28+2%2Aa+%29\"$ , $\"highlight_red%28+-3%2Aa+%29\"$ replacing them with $\"highlight_green%28+%282-3%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%282-3%29%2Aa+%29%2B29%2F5=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+2+%29-highlight_red%28+3+%29%29%2Aa%2B29%2F5=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-1+%29%29%2Aa%2B29%2F5=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-1+%29%29%2Aa%2B29%2F5=0\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"%28-highlight_green%28+1+%29%29%2Aa%2B29%2F5=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+1+%29%29%2Aa+%29%2B29%2F5=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"-highlight_green%28+1+%29%2Aa%2B29%2F5=0\"$ .
\n" ); document.write( "

Look at $\"-highlight_red%28+1+%29%2Aa%2B29%2F5=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-a%2B29%2F5=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+-a%2B29%2F5+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-a%2B29%2F5=0+%29\"$ equivalent to -a+5.8 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: a=5.8.

Universal Simplifier and Solver

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

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

\n" );