Solve for x
x = \frac{20}{9} = 2\frac{2}{9} \approx 2.222222222
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10+\frac{7}{2}x=20-x
Combine \frac{3}{2}x and 2x to get \frac{7}{2}x.
10+\frac{7}{2}x+x=20
Add x to both sides.
10+\frac{9}{2}x=20
Combine \frac{7}{2}x and x to get \frac{9}{2}x.
\frac{9}{2}x=20-10
Subtract 10 from both sides.
\frac{9}{2}x=10
Subtract 10 from 20 to get 10.
x=10\times \frac{2}{9}
Multiply both sides by \frac{2}{9}, the reciprocal of \frac{9}{2}.
x=\frac{10\times 2}{9}
Express 10\times \frac{2}{9} as a single fraction.
x=\frac{20}{9}
Multiply 10 and 2 to get 20.
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Limits
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