document.write( "Question 116455: Can you please show me how to solve this problem step by step please ? 0.8-4(X-1)= 0.2 + 3(4-X).I just need to see how the process works and why you apply those steps to the problem. \n" ); document.write( "
Algebra.Com's Answer #84697 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 0.8 - 4(X-1) = 0.2 + 3(4-X) \n" ); document.write( ": \n" ); document.write( "First multiply what's inside the brackets, remember a minus outside changes the signs \n" ); document.write( ".8 - 4x + 4 = .2 + 12 - 3x \n" ); document.write( ": \n" ); document.write( "-4x + 4.8 = 12.2 - 3x; added the numerical values on both sides \n" ); document.write( ": \n" ); document.write( "Usually combine the unknowns (x) on the left and numerical values on the right \n" ); document.write( "-4x + 3x = 12.2 - 4.8 \n" ); document.write( ": \n" ); document.write( "-1x = +7.4 \n" ); document.write( ": \n" ); document.write( "1x = -7.4; x has to be positive, multiplied both sides by -1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "It's a good idea to substitute your solution for x in the original equation \n" ); document.write( ": \n" ); document.write( "0.8-4(-7.4-1)= 0.2 + 3(4-(-7.4)) \n" ); document.write( ".8 - 4(-8.4) = .2 + 3(4 +7.4); minus a minus is plus \n" ); document.write( ".8 + 33.6 = .2 + 3(11.4) \n" ); document.write( "34.4 = .2 + 34.2; equality reigns, confirming our solution of x = -7.4 \n" ); document.write( ": \n" ); document.write( "Some like to get rid of the decimals by first multiplying both sides by 10 (in this case) and that is OK to do. \n" ); document.write( "You would then have: \n" ); document.write( "8 - 40(X-1)= 2 + 30(4-X); you can solve it this way also \n" ); document.write( ": \n" ); document.write( "Did this help? \n" ); document.write( " |