document.write( "Question 63549: (x+1)/2-(x-7)/6=3 I keep getting 11, but when I put it in the equation it doesn't work???? \n" ); document.write( "

Algebra.Com's Answer #44255 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"%28%28x%2B1%29%29%2F2+-+%28%28x-7%29%29%2F6+=+3\"$ Subtract the two fractions on the left side using the LCD of 6.
\n" ); document.write( " $\"3%28x%2B1%29%2F3%282%29+-+%28%28x-7%29%29%2F6+=+3\"$ Simplify.
\n" ); document.write( " $\"%28%283x%2B3%29+-+%28x-7%29%29%2F6+=+3\"$
\n" ); document.write( " $\"%283x-x%2B3%2B7%29%2F6+=+3\"$ Multiply both sides by 6 and simplify.
\n" ); document.write( " $\"2x%2B10+=+18\"$ Subtract 10 from both sides.
\n" ); document.write( " $\"2x+=+8\"$ Divide both sides by 2.
\n" ); document.write( " $\"x+=+4\"$ \r
\n" ); document.write( "\n" ); document.write( "Check: Substitute x = 4 into the original equation.
\n" ); document.write( " $\"%28%284%2B1%29%29%2F2+-+%28%284-7%29%29%2F6+=+3\"$
\n" ); document.write( " $\"5%2F2+-+%28-3%29%2F6+=+3\"$
\n" ); document.write( " $\"%2815+%2B+3%29%2F6+=+3\"$
\n" ); document.write( " $\"18%2F6+=+3\"$
\n" ); document.write( " $\"3+=+3\"$ Check is ok!
\n" ); document.write( " \n" ); document.write( "

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