Solve for m
m=\frac{x+3}{x}
x\neq 0
Solve for x
x=\frac{3}{m-1}
m\neq 1
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mx-x=3
Add 3 to both sides. Anything plus zero gives itself.
mx=3+x
Add x to both sides.
xm=x+3
The equation is in standard form.
\frac{xm}{x}=\frac{x+3}{x}
Divide both sides by x.
m=\frac{x+3}{x}
Dividing by x undoes the multiplication by x.
mx-x=3
Add 3 to both sides. Anything plus zero gives itself.
\left(m-1\right)x=3
Combine all terms containing x.
\frac{\left(m-1\right)x}{m-1}=\frac{3}{m-1}
Divide both sides by m-1.
x=\frac{3}{m-1}
Dividing by m-1 undoes the multiplication by m-1.
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