document.write( "Question 343156: solve each equation and check.\r
\n" ); document.write( "\n" ); document.write( "-2/9=5x/6-1/3 \n" ); document.write( "

Algebra.Com's Answer #245674 by haileytucki(390) $\"\"$ $\"About$

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-(2)/(9)=(5x)/(6)-(1)/(3)\r
\n" ); document.write( "\n" ); document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
\n" ); document.write( "(5x)/(6)-(1)/(3)=-(2)/(9)\r
\n" ); document.write( "\n" ); document.write( "Since -(1)/(3) does not contain the variable to solve for, move it to the right-hand side of the equation by adding (1)/(3) to both sides.
\n" ); document.write( "(5x)/(6)=(1)/(3)-(2)/(9)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation.
\n" ); document.write( "(5x)/(6)=(1)/(9)\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by 6.
\n" ); document.write( "(5x)/(6)*6=(1)/(9)*6\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "5x=(1)/(9)*6\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "5x=(2)/(3)\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 5.
\n" ); document.write( "(5x)/(5)=(2)/(3)*(1)/(5)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "x=(2)/(3)*(1)/(5)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "x=(2)/(15) \n" ); document.write( "

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