Solve varepsilon^x-2^x6/x=f

$$\frac { \varepsilon ^ { x } - 2 ^ { x } 6 } { x } = f$$

Solve for f

$$f=\frac{\epsilon ^{x}-6\times 2^{x}}{x}$$

$$\left(\epsilon >0\text{ and }x\neq 0\right)\text{ or }\left(\epsilon =0\text{ and }x>0\right)\text{ or }\left(\epsilon <0\text{ and }Denominator(x)\text{bmod}2=1\text{ and }x\neq 0\right)$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$\epsilon ^{x}-2^{x}\times 6=fx$$

Swap sides so that all variable terms are on the left hand side.

$$fx=\epsilon ^{x}-2^{x}\times 6$$

Multiply -1 and 6 to get -6.

$$fx=\epsilon ^{x}-6\times 2^{x}$$

The equation is in standard form.

$$xf=\epsilon ^{x}-6\times 2^{x}$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{\epsilon ^{x}-6\times 2^{x}}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{\epsilon ^{x}-6\times 2^{x}}{x}$$