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g=2x+5,h=(1/3)3x-1,g/h=3/2

therefore,

{(2x+5)/(1/3)3x-1}=3/2

{(2x+5)/(3x/3)-1}=3/2

[(2x+5)/{(x-3x)/3}]=3/2

(2x+5)/(-2x/3)=3/2

2x+5 = 9/4x

2x * 4x=9-5

8x=4

x = 4/8

= 1/2.

therefore,

{(2x+5)/(1/3)3x-1}=3/2

{(2x+5)/(3x/3)-1}=3/2

[(2x+5)/{(x-3x)/3}]=3/2

(2x+5)/(-2x/3)=3/2

2x+5 = 9/4x

2x * 4x=9-5

8x=4

x = 4/8

= 1/2.

Hope I helped.