\(ln(y - 1) - ln(2) = x + ln(x)\)
\(e^{ln(y - 1) - ln(2)} = e^{x + ln(x)}\)
\(\frac{e^{ln(y - 1)}}{e^{ln(2)}} = e^{x} * e^{ln(x)}\)
\(\frac{y - 1}{2} = e^{x} * x\)
\(\frac{1}{2}y - \frac{1}{2} = xe^{x}\)
\(2(\frac{1}{2}y - \frac{1}{2}) = 2xe^{x}\)
\(y - 1 = 2xe^{x}\)
\(y = 2xe^{x} + 1\)