document.write( "Question 831539: What is the solution of 1/4x-5=3/4x-12 ? Please explain your steps and how you got it. I dont understand how to figure it out. Thank you! \n" ); document.write( "
Algebra.Com's Answer #501452 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Pesky fractions! \n" ); document.write( "Let's get rid of them. Multiply each side by 4. \n" ); document.write( "(1/4x - 5) * 4 = 4/4x - 20 = x-20 \n" ); document.write( "The other side: (3/4x-12) * 4 = 12/4x - 48 = 3x-48 \n" ); document.write( "Now plug those back in. \n" ); document.write( "x-20 = 3x-48 \n" ); document.write( "Subtract x from each side \n" ); document.write( "-20 = 2x - 48 \n" ); document.write( "Add 48 to each side \n" ); document.write( "28 = 2x \n" ); document.write( "Divide each side by 2 \n" ); document.write( "14 = x <<-- \n" ); document.write( ". \n" ); document.write( "Let's check it to be certain, by using the original question. \n" ); document.write( "1/4x-5=3/4x-12 \n" ); document.write( "(1/4 * 14)-5 = (3/4 * 14) - 12 \n" ); document.write( "14/4 - 5 = 42/4 - 12 \n" ); document.write( "3.5 - 5 = 10.5 - 12 \n" ); document.write( "-1.5 = - 1.5 \n" ); document.write( "Success! \n" ); document.write( " |