document.write( "Question 419343: please help solve.. 6x-6>2(2x-8) \n" ); document.write( "
Algebra.Com's Answer #293279 by duckness73(47) You can put this solution on YOUR website! 6x - 6 > 2 (2x - 8) \n" ); document.write( "6x - 6 > 4x -16 (distributing the \"2\" over the term on the right) \n" ); document.write( "6x > 4x - 10 (adding 6 to both sides) \n" ); document.write( "2x > -10 (subtracting 4x from both sides) \n" ); document.write( "x > -5\r \n" ); document.write( "\n" ); document.write( "Lets check the answer by just picking a value for x which is greater than -5, plugging it back into the original inequality and seeing if the simplified result is true. Let's pick x = 0 (which is greater than -5). Putting \"0\" into the original inequality, we get:\r \n" ); document.write( "\n" ); document.write( "6(0) - 6 > 2 (2(0) - 8) \n" ); document.write( "-6 > 2(-8) \n" ); document.write( "-6 > -16\r \n" ); document.write( "\n" ); document.write( "Since -6 is greater than -16, the solution checks out. \n" ); document.write( " |