Solve sigma=x-0.17/0.43-0.3

$$\sigma = \frac { x - 0.17 } { 0.43 - 0.3 }$$

Solve for x

$$x=\frac{13\sigma +17}{100}$$

Steps for Solving Linear Equation

Subtract 0.3 from 0.43 to get 0.13.

$$\sigma =\frac{x-0.17}{0.13}$$

Divide each term of x-0.17 by 0.13 to get \frac{x}{0.13}+\frac{-0.17}{0.13}.

$$\sigma =\frac{x}{0.13}+\frac{-0.17}{0.13}$$

Expand \frac{-0.17}{0.13} by multiplying both numerator and the denominator by 100.

$$\sigma =\frac{x}{0.13}+\frac{-17}{13}$$

Fraction \frac{-17}{13} can be rewritten as -\frac{17}{13} by extracting the negative sign.

$$\sigma =\frac{x}{0.13}-\frac{17}{13}$$

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

$$\frac{x}{0.13}-\frac{17}{13}=\sigma$$

Add \frac{17}{13} to both sides.

$$\frac{x}{0.13}=\sigma +\frac{17}{13}$$

The equation is in standard form.

$$\frac{100}{13}x=\sigma +\frac{17}{13}$$

Divide both sides of the equation by \frac{100}{13}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{100}{13}x}{\frac{100}{13}}=\frac{\sigma +\frac{17}{13}}{\frac{100}{13}}$$

Dividing by \frac{100}{13} undoes the multiplication by \frac{100}{13}.

$$x=\frac{\sigma +\frac{17}{13}}{\frac{100}{13}}$$

Divide \sigma +\frac{17}{13} by \frac{100}{13} by multiplying \sigma +\frac{17}{13} by the reciprocal of \frac{100}{13}.

$$x=\frac{13\sigma +17}{100}$$

Solve for σ

$$\sigma =\frac{100x-17}{13}$$