document.write( "Question 577003: Can you help me solve 2(x-8)=3(1-3x)-1/2 \n" ); document.write( "
Algebra.Com's Answer #370034 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! Distributive property is your friend here.\r \n" ); document.write( "\n" ); document.write( "2(x-8) = 3(1-3x) - 1/2\r \n" ); document.write( "\n" ); document.write( "The two on the left distributes to both terms, similarly the three on the right distributes to both terms.\r \n" ); document.write( "\n" ); document.write( "2x - 2(8) = 3(1) - 3(3x) - 1/2\r \n" ); document.write( "\n" ); document.write( "2x - 16 = 3 - 9x - 1/2 \n" ); document.write( "+9x + 9x\r \n" ); document.write( "\n" ); document.write( "11x - 16 = 3 - 1/2\r \n" ); document.write( "\n" ); document.write( "11x = 3 - 1/2 + 16\r \n" ); document.write( "\n" ); document.write( "Multiply by 2 to get rid of the fraction.\r \n" ); document.write( "\n" ); document.write( "22x = 6 - 1 + 32\r \n" ); document.write( "\n" ); document.write( "22x = 37\r \n" ); document.write( "\n" ); document.write( "x = 37/22\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |