Solve for m
m=2+\frac{9}{x}
x\neq 0
Solve for x
x=\frac{9}{m-2}
m\neq 2
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mx=2x+6+3
Add 3 to both sides.
mx=2x+9
Add 6 and 3 to get 9.
xm=2x+9
The equation is in standard form.
\frac{xm}{x}=\frac{2x+9}{x}
Divide both sides by x.
m=\frac{2x+9}{x}
Dividing by x undoes the multiplication by x.
m=2+\frac{9}{x}
Divide 2x+9 by x.
mx-3-2x=6
Subtract 2x from both sides.
mx-2x=6+3
Add 3 to both sides.
mx-2x=9
Add 6 and 3 to get 9.
\left(m-2\right)x=9
Combine all terms containing x.
\frac{\left(m-2\right)x}{m-2}=\frac{9}{m-2}
Divide both sides by m-2.
x=\frac{9}{m-2}
Dividing by m-2 undoes the multiplication by m-2.
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