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Functions of x in Given Proportion

Suppose expressions  
\[f(x)=2x-3, \: g(x)=3x-1\]
  are in the ratio  
\[3:5\]
.
To find  
\[x\]
  use the above information to form the equation
\[\frac{2x-3}{3}=\frac{3x-1}{5}\]

\[5(2x-3)=3(3x-1)\]

\[10x-15=9x-3\]

\[10x-9x=15-3\]

\[x=12\]

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