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y\left(x+1\right)=\left(x+1\right)\times 2+3
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.
yx+y=\left(x+1\right)\times 2+3
Use the distributive property to multiply y by x+1.
yx+y=2x+2+3
Use the distributive property to multiply x+1 by 2.
yx+y=2x+5
Add 2 and 3 to get 5.
yx+y-2x=5
Subtract 2x from both sides.
yx-2x=5-y
Subtract y from both sides.
\left(y-2\right)x=5-y
Combine all terms containing x.
\frac{\left(y-2\right)x}{y-2}=\frac{5-y}{y-2}
Divide both sides by y-2.
x=\frac{5-y}{y-2}
Dividing by y-2 undoes the multiplication by y-2.
x=\frac{5-y}{y-2}\text{, }x\neq -1
Variable x cannot be equal to -1.