document.write( "Question 826616: 3(x-1) = 4 (-x + 5) solve for X? Is there a site that states the rules for solving this? I want to help my son?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #498183 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! Choose a Beginning Algebra book; not a site. \n" ); document.write( "You would benefit from studying properties of numbers. The equation you show would use Distributive Property, Additive Inverses, and Multiplicative Inverse. Understanding signed numbers is also necessary.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The goal for the given equation is get all terms of x on one side and all constants on the other side.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x-1=-4x+20---(This line has a mistake, but...) ------ Distributive Property \n" ); document.write( "3x-1+1=-4x+20+1 ------ Additive Inverse \n" ); document.write( "3x-1+1+4x=-4x+20+1+4x ------Additive Inverse \n" ); document.write( "3x+4x-1+1=-4x+4x+20+1 --------Commutative Property for Addition \n" ); document.write( "Good Time To Simplify or Compute the Parts worth Computing... \n" ); document.write( "7x+0=0+21 ---------- Meaning of Additive Inverses \n" ); document.write( "7x=21 --------- Zero is the Additive Identity Element \n" ); document.write( "7x(1/7)=21(1/7) --------Multiplicative Inverse \n" ); document.write( "x=3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--The above steps already posted and person had read it. Here is the work without the mistake: \n" ); document.write( "-- \n" ); document.write( "3x-3=-4x+20---(Mistake Fixed...) ------ Distributive Property \n" ); document.write( "3x-3+1=-4x+20+1 ------ Additive Inverse \n" ); document.write( "3x-3+1+4x=-4x+20+1+4x ------Additive Inverse \n" ); document.write( "3x+4x-3+1=-4x+4x+20+1-------Commutative Property for Addition \n" ); document.write( "7x-3+1=0+20+1-------Combined like-terms, and Property of Additive Inverses \n" ); document.write( "Now a Good Time to Simplify... \n" ); document.write( "7x-2=21 \n" ); document.write( "7x=21+2 -----------Additive Inverse \n" ); document.write( "7x=23 \n" ); document.write( "(1/7)7x=(1/7)23-----------Multiplicative Inverse \n" ); document.write( "x=23/7 \n" ); document.write( " \n" ); document.write( " |