document.write( "Question 19119: Solve algebraically for the variable:\r
\n" ); document.write( "\n" ); document.write( "x + 2 = 4 (3x -2)\r
\n" ); document.write( "\n" ); document.write( "I got this:\r
\n" ); document.write( "\n" ); document.write( "x + 2 = 12x - 8
\n" ); document.write( "2= 11x - 8
\n" ); document.write( "10 = 11x
\n" ); document.write( "10/11 = x <-------- answer\r
\n" ); document.write( "\n" ); document.write( "Is this correct? \n" ); document.write( "

Algebra.Com's Answer #9179 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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

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This is an equation! Solutions: x=0.909090909090909.
Graphical form: Equation $\"x%2B2=4%2A%283x-2%29\"$ was fully solved.
Text form: x+2=4*(3x-2) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+x%2B2=4%2A%283x-2%29+%29\"$
For tutors: simplify_cartoon( x+2=4*(3x-2) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"x%2B2=highlight_red%28+4%2A%283%2Ax-2%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-4%2A%283%2Ax-2%29+%29\"$
It becomes $\"x%2B2-highlight_green%28+4%2A%283%2Ax-2%29+%29=0\"$ .
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Look at $\"x%2Bhighlight_red%28+2+%29-4%2A%283%2Ax-2%29=0\"$ .
Moved $\"2\"$ to the right of expression
It becomes $\"x-4%2A%283%2Ax-2%29%2Bhighlight_green%28+2+%29=0\"$ .
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Look at $\"x-highlight_red%28+4%2A%283%2Ax-2%29+%29%2B2=0\"$ .
Expanded term $\"-4\"$ by using associative property on $\"%283%2Ax-2%29\"$
It becomes $\"x-highlight_green%28+4%2A3%2Ax+%29%2Bhighlight_green%28+4%2A2+%29%2B2=0\"$ .
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Look at $\"x-highlight_red%28+4+%29%2Ahighlight_red%28+3+%29%2Ax%2B4%2A2%2B2=0\"$ .
Multiplied numerator integers
It becomes $\"x-highlight_green%28+12+%29%2Ax%2B4%2A2%2B2=0\"$ .
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Look at $\"x-12%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2B2=0\"$ .
Multiplied numerator integers
It becomes $\"x-12%2Ax%2Bhighlight_green%28+8+%29%2B2=0\"$ .
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Look at $\"x-12%2Ax%2Bhighlight_red%28+8+%29%2Bhighlight_red%28+2+%29=0\"$ .
Added fractions or integers together
It becomes $\"x-12%2Ax%2Bhighlight_green%28+10+%29=0\"$ .
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Look at $\"highlight_red%28+x+%29-highlight_red%28+12%2Ax+%29%2B10=0\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+-12%2Ax+%29\"$ replacing them with $\"highlight_green%28+%281-12%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281-12%29%2Ax+%29%2B10=0\"$ .
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Look at $\"%28highlight_red%28+1+%29-highlight_red%28+12+%29%29%2Ax%2B10=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-11+%29%29%2Ax%2B10=0\"$ .
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Look at $\"%28highlight_red%28+-11+%29%29%2Ax%2B10=0\"$ .
Removed extra sign in front of $\"-11\"$
It becomes $\"%28-highlight_green%28+11+%29%29%2Ax%2B10=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+11+%29%29%2Ax+%29%2B10=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+11+%29\"$
It becomes $\"-highlight_green%28+11+%29%2Ax%2B10=0\"$ .
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Look at $\"highlight_red%28+-11%2Ax%2B10+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-11%2Ax%2B10=0+%29\"$ equivalent to -11*x+10 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=0.909090909090909.

Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "Yes you answer is correct.
\n" ); document.write( "My answer is in decimal form and when you convert it, it becomes $\"10%2F11\"$
\n" ); document.write( "Hope this helps! \n" ); document.write( "

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