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yx=2+x\times 2
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
yx-x\times 2=2
Subtract x\times 2 from both sides.
yx-2x=2
Multiply -1 and 2 to get -2.
\left(y-2\right)x=2
Combine all terms containing x.
\frac{\left(y-2\right)x}{y-2}=\frac{2}{y-2}
Divide both sides by y-2.
x=\frac{2}{y-2}
Dividing by y-2 undoes the multiplication by y-2.
x=\frac{2}{y-2}\text{, }x\neq 0
Variable x cannot be equal to 0.