Solve for m
m=\frac{x+4}{x+3}
x\neq -3
Solve for x
x=-\frac{3m-4}{m-1}
m\neq 1
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mx+3m=x+4
Add 4 to both sides.
\left(x+3\right)m=x+4
Combine all terms containing m.
\frac{\left(x+3\right)m}{x+3}=\frac{x+4}{x+3}
Divide both sides by x+3.
m=\frac{x+4}{x+3}
Dividing by x+3 undoes the multiplication by x+3.
mx+3m-4-x=0
Subtract x from both sides.
mx-4-x=-3m
Subtract 3m from both sides. Anything subtracted from zero gives its negation.
mx-x=-3m+4
Add 4 to both sides.
\left(m-1\right)x=-3m+4
Combine all terms containing x.
\left(m-1\right)x=4-3m
The equation is in standard form.
\frac{\left(m-1\right)x}{m-1}=\frac{4-3m}{m-1}
Divide both sides by m-1.
x=\frac{4-3m}{m-1}
Dividing by m-1 undoes the multiplication by m-1.
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Limits
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