document.write( "Question 1176512: -8x + 14 = -2(4x - 7) \n" ); document.write( "
Algebra.Com's Answer #803602 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
start with:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-8x + 14 = -2 * (4x - 7)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "simplify to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-8x+ 14 = -8x + 14\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the expressions on each side of the equation are identical.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "subtract the right side of the equation from both sides of the equation to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "0 = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the variables have disappeared and the equation is true.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "that means any value of the variable will also make the equation true.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in other words, there are an infinite number of solutions to this equation.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "examples:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "when x = 1, 8x + 14 = 22 on both sides of the equation, making them equal to each other.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "when x = 100, 8x + 14 = 814 on both sides of the equation, making them equal to each other.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );