Solve for a
a=-1-\frac{1}{x}
x\neq 0
Solve for x
x=-\frac{1}{a+1}
a\neq -1
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ax+x+3=2
Use the distributive property to multiply a+1 by x.
ax+3=2-x
Subtract x from both sides.
ax=2-x-3
Subtract 3 from both sides.
ax=-1-x
Subtract 3 from 2 to get -1.
xa=-x-1
The equation is in standard form.
\frac{xa}{x}=\frac{-x-1}{x}
Divide both sides by x.
a=\frac{-x-1}{x}
Dividing by x undoes the multiplication by x.
a=-1-\frac{1}{x}
Divide -1-x by x.
ax+x+3=2
Use the distributive property to multiply a+1 by x.
ax+x=2-3
Subtract 3 from both sides.
ax+x=-1
Subtract 3 from 2 to get -1.
\left(a+1\right)x=-1
Combine all terms containing x.
\frac{\left(a+1\right)x}{a+1}=-\frac{1}{a+1}
Divide both sides by a+1.
x=-\frac{1}{a+1}
Dividing by a+1 undoes the multiplication by a+1.
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