Solve for g
g=\frac{3x^{2}}{2}+\frac{3}{2}+\frac{5}{2x}
x\neq 0
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2gx=3x^{3}+5+3x
Add 3x to both sides.
2xg=3x^{3}+3x+5
The equation is in standard form.
\frac{2xg}{2x}=\frac{3x^{3}+3x+5}{2x}
Divide both sides by 2x.
g=\frac{3x^{3}+3x+5}{2x}
Dividing by 2x undoes the multiplication by 2x.
g=\frac{3x^{2}}{2}+\frac{3}{2}+\frac{5}{2x}
Divide 3x^{3}+5+3x by 2x.
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