document.write( "Question 952595: My name is jayda and I need help solving this problem were solving equations with variables on both side 0.2(6x-10)=2.4x and 2x+0.25=0.5(2x-1.5) step by step plz \n" ); document.write( "

Algebra.Com's Answer #581742 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
0.2(6x-10) = 2.4x
\n" ); document.write( "get rid of that annoying decimal, multiply both sides by 10 and you have
\n" ); document.write( "2(6x-10) = 24x
\n" ); document.write( "distribute the 2 and you have
\n" ); document.write( "12x - 20 = 24x
\n" ); document.write( "subtract 12x from both sides
\n" ); document.write( "-20 = 24x - 12x
\n" ); document.write( "-20 = 12x
\n" ); document.write( "Divide both sides by 12
\n" ); document.write( " $\"-20%2F12\"$ = x
\n" ); document.write( "-1.667 = x
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "confirm this, replace x with -1.667 in the original equation
\n" ); document.write( "0.2(6(-1.667)-10) = 2.4(-1.667)
\n" ); document.write( "do the math
\n" ); document.write( "0.2(-10-10) = -4
\n" ); document.write( ".2(-20) = -4
\n" ); document.write( "-4 = -4 a good solution
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( " 2x + 0.25 = 0.5(2x - 1.5)
\n" ); document.write( "Distribute the .5
\n" ); document.write( "2x + .25 = 1x - .75
\n" ); document.write( "subtract x from both sides
\n" ); document.write( "2x - x + .25 = -.75
\n" ); document.write( "Subtract .25 from both place
\n" ); document.write( "x = -.75 - .25
\n" ); document.write( "x = -1.0
\n" ); document.write( ":
\n" ); document.write( "See if that works in the original problem
\n" ); document.write( " 2(-1) + 0.25 = 0.5(2(-1) - 1.5)
\n" ); document.write( "-2 + .25 = .5 = .5(-2-1.5
\n" ); document.write( "-1.75 = .5(3.5)
\n" ); document.write( "-1.75 = -1.75
\n" ); document.write( " \n" ); document.write( "

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