document.write( "Question 733650: What is 8x+2 =5x+23 using the balance method? \n" ); document.write( "
Algebra.Com's Answer #448522 by Simnepi(216)![]() ![]() You can put this solution on YOUR website! to solve any type of equation with an unknown on both sides of the equals sign.... \n" ); document.write( "look for the side with the least unknowns \n" ); document.write( "so 8x+2=5x+23 \n" ); document.write( "the right hand side (of the equals sign) has 5x and the left hand side has 8x. \n" ); document.write( "so we take 5x from both sides to eliminate the +5x from the right hand side \n" ); document.write( "giving \n" ); document.write( "8x+2-5x=5x+23-5x \n" ); document.write( "simplifying gives \n" ); document.write( "3x+2=23 \n" ); document.write( "Now we have to eliminate the number from the side with the unknown on \n" ); document.write( "So we have to subtract 2 from both sides to get rid of the +2 from the right hand side \n" ); document.write( "giving \n" ); document.write( "3x+2-2=23-2 \n" ); document.write( "simplifying gives \n" ); document.write( "3x=21 \n" ); document.write( "Dividing both sides by 3 gives us \n" ); document.write( "x=7 \n" ); document.write( " |