document.write( "Question 225986: the difference between two numbers is 22. If the larger number is 4 more than twice the smaller. Find the numbers
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #168426 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
The difference between two numbers is 22. If the larger number is 4 more than twice the smaller. Find the numbers\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Let x be one number\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Let 22+x be the larger number and since the difference between the two numbers is 22.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Let 2x be twice the smaller.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. 22+x=4+2x since the larger number is 4 more than twice the smaller.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 5. Solving the equation in Step 4 leads to the following steps.\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=18.
Graphical form: Equation $\"22%2Bx=4%2B2x\"$ was fully solved.
Text form: 22+x=4+2x simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+22%2Bx=4%2B2x+%29\"$
For tutors: simplify_cartoon( 22+x=4+2x )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"highlight_red%28+22+%29%2Bx=4%2B2x\"$ .
Moved $\"22\"$ to the right of expression
It becomes $\"x%2Bhighlight_green%28+22+%29=4%2B2x\"$ .
\n" ); document.write( "

Look at $\"x%2B22=highlight_red%28+4+%29%2B2%2Ax\"$ .
Moved $\"4\"$ to the right of expression
It becomes $\"x%2B22=2%2Ax%2Bhighlight_green%28+4+%29\"$ .
\n" ); document.write( "

Look at $\"x%2B22=highlight_red%28+2%2Ax%2B4+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-2%2Ax+%29\"$ , $\"highlight_green%28+-4+%29\"$
It becomes $\"x%2B22-highlight_green%28+2%2Ax+%29-highlight_green%28+4+%29=0\"$ .
\n" ); document.write( "

Look at $\"x%2Bhighlight_red%28+22+%29-2%2Ax-highlight_red%28+4+%29=0\"$ .
Added fractions or integers together
It becomes $\"x%2Bhighlight_green%28+18+%29-2%2Ax=0\"$ .
\n" ); document.write( "

Look at $\"x%2Bhighlight_red%28+18+%29-2%2Ax=0\"$ .
Moved $\"18\"$ to the right of expression
It becomes $\"x-2%2Ax%2Bhighlight_green%28+18+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+x+%29-highlight_red%28+2%2Ax+%29%2B18=0\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+-2%2Ax+%29\"$ replacing them with $\"highlight_green%28+%281-2%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281-2%29%2Ax+%29%2B18=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+1+%29-highlight_red%28+2+%29%29%2Ax%2B18=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-1+%29%29%2Ax%2B18=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-1+%29%29%2Ax%2B18=0\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"%28-highlight_green%28+1+%29%29%2Ax%2B18=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+1+%29%29%2Ax+%29%2B18=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"-highlight_green%28+1+%29%2Ax%2B18=0\"$ .
\n" ); document.write( "

Look at $\"-highlight_red%28+1+%29%2Ax%2B18=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-x%2B18=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+-x%2B18+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-x%2B18=0+%29\"$ equivalent to -x+18 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=18.

Universal Simplifier and Solver

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

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With x=18, then 22+x=40\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check with equation four 22+x=4+2x or 40=4+2*18 or 40=40 which is a true statement.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 6. Then numbers are 18 and 40\r
\n" ); document.write( "
\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 \n" ); document.write( "

\n" );