Solve for a
a=\frac{3}{x+2}
x\neq -2
Solve for x
x=-2+\frac{3}{a}
a\neq 0
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ax+2a=3
Add 3 to both sides. Anything plus zero gives itself.
\left(x+2\right)a=3
Combine all terms containing a.
\frac{\left(x+2\right)a}{x+2}=\frac{3}{x+2}
Divide both sides by x+2.
a=\frac{3}{x+2}
Dividing by x+2 undoes the multiplication by x+2.
ax-3=-2a
Subtract 2a from both sides. Anything subtracted from zero gives its negation.
ax=-2a+3
Add 3 to both sides.
ax=3-2a
The equation is in standard form.
\frac{ax}{a}=\frac{3-2a}{a}
Divide both sides by a.
x=\frac{3-2a}{a}
Dividing by a undoes the multiplication by a.
x=-2+\frac{3}{a}
Divide -2a+3 by a.
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