document.write( "Question 184966: Solve $\"30%2Fx=50%2Fx%2B10%2B1%2F2\"$ for x. \n" ); document.write( "

Algebra.Com's Answer #138797 by SandyBeach(2) $\"\"$ $\"About$

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Start by changing 10 + 1/2 to a improper fraction.
\n" ); document.write( " $\"30%2Fx=50%2Fx%2B10%2B1%2F2\"$
\n" ); document.write( " $\"30%2Fx=50%2Fx%2B10%2A%282%2F2%29%2B1%2F2\"$
\n" ); document.write( " $\"30%2Fx=50%2Fx%2B%2820%2F2%29%2B1%2F2\"$
\n" ); document.write( " $\"30%2Fx=50%2Fx%2Bhighlight%2821%2F2%29\"$
\n" ); document.write( "Then, multiply both sides of the equation by x, to get x out of the denominator.
\n" ); document.write( " $\"x%2A%2830%2Fx%29=x%2A%2850%2Fx%2B21%2F2%29\"$
\n" ); document.write( "Distribute x on the right hand side of the equation.
\n" ); document.write( " $\"x%2A%2830%2Fx%29=%28x%2A50%2Fx%2Bx%2A21%2F2%29\"$
\n" ); document.write( " $\"cross%28x%29%2A%2830%2Fcross%28x%29%29=%28cross%28x%29%2A50%2Fcross%28x%29%2Bx%2A21%2F2%29\"$
\n" ); document.write( " $\"30=50%2B21x%2F2\"$
\n" ); document.write( "Subtract 50 from each side.
\n" ); document.write( " $\"30-highlight%2850%29=50-highlight%2850%29%2B21x%2F2\"$
\n" ); document.write( " $\"-20=21x%2F2\"$
\n" ); document.write( "Multiply both sides by 2.
\n" ); document.write( " $\"-20%2Ahighlight%282%29=21x%2Ahighlight%282%29%2F2\"$
\n" ); document.write( " $\"-40=21x\"$
\n" ); document.write( "Divide by both sides by 21.
\n" ); document.write( " $\"-40%2F21=21x%2F21\"$
\n" ); document.write( " $\"highlight%28x=-40%2F21%29\"$ \n" ); document.write( "

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