document.write( "Question 221640: how do you solve for x and check the solution to the equation,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-0.3 + x-5(x + 1/10)= -0.8 + 5(-x+0.1) \n" ); document.write( "

Algebra.Com's Answer #166193 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
How do you solve for x and check the solution to the equation,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-0.3+%2B+x-5%28x+%2B+1%2F10%29=+-0.8+%2B+5%28-x%2B0.1%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Multiply by 10 to both sides of the equation to get rid of the decimal point and denominator\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-3%2B10x-50x-5%29=-8-50x%2B5\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Simplify as follows:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\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: x=0.5.
Graphical form: Equation $\"-3%2B10x-50x-5=-8-50x%2B5\"$ was fully solved.
Text form: -3+10x-50x-5=-8-50x+5 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+-3%2B10x-50x-5=-8-50x%2B5+%29\"$
For tutors: simplify_cartoon( -3+10x-50x-5=-8-50x+5 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"-highlight_red%28+3+%29%2B10%2Ax-50%2Ax-highlight_red%28+5+%29=-8-50x%2B5\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+-8+%29%2B10%2Ax-50%2Ax=-8-50x%2B5\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+-8+%29%2B10%2Ax-50%2Ax=-8-50x%2B5\"$ .
Moved $\"-8\"$ to the right of expression
It becomes $\"10%2Ax-50%2Ax%2Bhighlight_green%28+-8+%29=-8-50x%2B5\"$ .
\n" ); document.write( "

Look at $\"10%2Ax-50%2Ax%2Bhighlight_red%28+-8+%29=-8-50x%2B5\"$ .
Removed extra sign in front of $\"-8\"$
It becomes $\"10%2Ax-50%2Ax-highlight_green%28+8+%29=-8-50x%2B5\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+10%2Ax+%29-highlight_red%28+50%2Ax+%29-8=-8-50x%2B5\"$ .
Eliminated similar terms $\"highlight_red%28+10%2Ax+%29\"$ , $\"highlight_red%28+-50%2Ax+%29\"$ replacing them with $\"highlight_green%28+%2810-50%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%2810-50%29%2Ax+%29-8=-8-50x%2B5\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+10+%29-highlight_red%28+50+%29%29%2Ax-8=-8-50x%2B5\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-40+%29%29%2Ax-8=-8-50x%2B5\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-40+%29%29%2Ax-8=-8-50x%2B5\"$ .
Removed extra sign in front of $\"-40\"$
It becomes $\"%28-highlight_green%28+40+%29%29%2Ax-8=-8-50x%2B5\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+40+%29%29%2Ax+%29-8=-8-50x%2B5\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+40+%29\"$
It becomes $\"-highlight_green%28+40+%29%2Ax-8=-8-50x%2B5\"$ .
\n" ); document.write( "

Look at $\"-40%2Ax-8=-highlight_red%28+8+%29-50%2Ax%2Bhighlight_red%28+5+%29\"$ .
Added fractions or integers together
It becomes $\"-40%2Ax-8=highlight_green%28+-3+%29-50%2Ax\"$ .
\n" ); document.write( "

Look at $\"-40%2Ax-8=highlight_red%28+-3+%29-50%2Ax\"$ .
Moved $\"-3\"$ to the right of expression
It becomes $\"-40%2Ax-8=-50%2Ax%2Bhighlight_green%28+-3+%29\"$ .
\n" ); document.write( "

Look at $\"-40%2Ax-8=-50%2Ax%2Bhighlight_red%28+-3+%29\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"-40%2Ax-8=-50%2Ax-highlight_green%28+3+%29\"$ .
\n" ); document.write( "

Look at $\"-40%2Ax-8=highlight_red%28+-50%2Ax-3+%29\"$ .
Moved these terms to the left $\"highlight_green%28+50%2Ax+%29\"$ , $\"highlight_green%28+3+%29\"$
It becomes $\"-40%2Ax-8%2Bhighlight_green%28+50%2Ax+%29%2Bhighlight_green%28+3+%29=0\"$ .
\n" ); document.write( "

Look at $\"-40%2Ax-highlight_red%28+8+%29%2B50%2Ax%2Bhighlight_red%28+3+%29=0\"$ .
Added fractions or integers together
It becomes $\"-40%2Ax%2Bhighlight_green%28+-5+%29%2B50%2Ax=0\"$ .
\n" ); document.write( "

Look at $\"-40%2Ax%2Bhighlight_red%28+-5+%29%2B50%2Ax=0\"$ .
Moved $\"-5\"$ to the right of expression
It becomes $\"-40%2Ax%2B50%2Ax%2Bhighlight_green%28+-5+%29=0\"$ .
\n" ); document.write( "

Look at $\"-40%2Ax%2B50%2Ax%2Bhighlight_red%28+-5+%29=0\"$ .
Removed extra sign in front of $\"-5\"$
It becomes $\"-40%2Ax%2B50%2Ax-highlight_green%28+5+%29=0\"$ .
\n" ); document.write( "

Look at $\"-highlight_red%28+40%2Ax+%29%2Bhighlight_red%28+50%2Ax+%29-5=0\"$ .
Eliminated similar terms $\"highlight_red%28+-40%2Ax+%29\"$ , $\"highlight_red%28+50%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-40%2B50%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-40%2B50%29%2Ax+%29-5=0\"$ .
\n" ); document.write( "

Look at $\"%28-highlight_red%28+40+%29%2Bhighlight_red%28+50+%29%29%2Ax-5=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+10+%29%29%2Ax-5=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+10+%29%29%2Ax+%29-5=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+10+%29\"$
It becomes $\"highlight_green%28+10+%29%2Ax-5=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+10%2Ax-5+%29=0\"$ .
Solved linear equation $\"highlight_red%28+10%2Ax-5=0+%29\"$ equivalent to 10*x-5 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=0.5.

Universal Simplifier and Solver

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

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Check x=0.5 and substitute into original equation to see if you get a true statement.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-0.3+%2B+x-5%28x+%2B+1%2F10%29=+-0.8+%2B+5%28-x%2B0.1%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-0.3%2B0.5-5%280.5%2B0.1%29=-0.8%2B5%28-0.5%2B0.1%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-0.8%2B2-5%28-0.6%29=-0.8%2B%282.5%2B5%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-0.8%2B3=-0.8%2B3\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"2.2=2.2\"$ a true statement.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "drjctu@gmail.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV
\n" ); document.write( "http://www.Facebook.com/FreedomUniversity.TV
\n" ); document.write( "http://www.Twitter.com/FreedomUTV\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "

\n" );