document.write( "Question 163753: I have this problem and I want to know if I did it correct? 4-x/x-2=-2/x-2, this is how I worked I tried to work the problem out, the -2&-2 cancel each other out and then it left 4-x/x=x-2, then add +2 to both sides 4+2=6 and x-2+2 cancels out each other x=6. Is this the correct answer or can it be answered?
\n" ); document.write( "But I have a couple of other problems that I need help with.1/4=3-2x-1 over x+2, x3/2=125 and x+20-x=0
\n" ); document.write( "

Algebra.Com's Answer #120629 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your first problem is ambiguous (ie not clear). Is the equation \"%284-x%29%2F%28x-2%29=-2%2F%28x-2%29\" ??? \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Use parenthesis to be very clear which terms are the numerator and which are the denominator.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If the equation is \"%284-x%29%2F%28x-2%29=-2%2F%28x-2%29\", then you are correct. The answer is \"x=6\". You can verify by substituting and simplifying.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "# 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Is the equation \"1%2F4=3-%282x-1%29%2F%28x%2B2%29\" ???\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2F4=3-%282x-1%29%2F%28x%2B2%29\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply EVERY term by the LCD \"4%28x%2B2%29\" to clear the fractions\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%28x%2B2%29=3%284%28x%2B2%29%29-4%282x-1%29\" Multiply and simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%28x%2B2%29=12%28x%2B2%29-4%282x-1%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B2=12x%2B24-8x%2B4\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B2=4x%2B28\" Combine like terms on the right side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=4x%2B28-2\" Subtract \"2\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-4x=28-2\" Subtract \"4x\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-3x=28-2\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-3x=26\" Combine like terms on the right side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%2826%29%2F%28-3%29\" Divide both sides by \"-3\" to isolate \"x\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-26%2F3\" Reduce.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answer is \"x=-26%2F3\" which approximates to \"x=-8.667\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "# 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The equation x3/2=125 is missing a sign or operator (like + or *)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "# 4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B20-x=0\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x%2B20=0\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x=0-20\" Subtract \"20\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x=-20\" Combine like terms on the right side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=-20\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since this equation is never true for any x value, this means that there are no solutions.
\n" ); document.write( "
\n" ); document.write( "
\n" );