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\frac{17}{4}X\times 4^{x}=256+4^{x-1}
Add 4^{x-1} to both sides.
\frac{17\times 4^{x}}{4}X=4^{x-1}+256
The equation is in standard form.
\frac{4\times \frac{17\times 4^{x}}{4}X}{17\times 4^{x}}=\frac{4\left(\frac{4^{x}}{4}+256\right)}{17\times 4^{x}}
Divide both sides by \frac{17}{4}\times 4^{x}.
X=\frac{4\left(\frac{4^{x}}{4}+256\right)}{17\times 4^{x}}
Dividing by \frac{17}{4}\times 4^{x} undoes the multiplication by \frac{17}{4}\times 4^{x}.
X=\frac{1024}{17\times 2^{2x}}+\frac{1}{17}
Divide 256+\frac{4^{x}}{4} by \frac{17}{4}\times 4^{x}.