Solve p=1-x/1+x

$$p = \frac { 1 - x } { 1 + x }$$

Solve for x

$$x=-\frac{p-1}{p+1}$$

$$p\neq -1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$p\left(x+1\right)=1-x$$

Use the distributive property to multiply p by x+1.

$$px+p=1-x$$

Add x to both sides.

$$px+p+x=1$$

Subtract p from both sides.

$$px+x=1-p$$

Combine all terms containing x.

$$\left(p+1\right)x=1-p$$

Divide both sides by p+1.

$$\frac{\left(p+1\right)x}{p+1}=\frac{1-p}{p+1}$$

Dividing by p+1 undoes the multiplication by p+1.

$$x=\frac{1-p}{p+1}$$

Variable x cannot be equal to -1.

$$x=\frac{1-p}{p+1}\text{, }x\neq -1$$

Solve for p

$$p=-\frac{x-1}{x+1}$$

$$x\neq -1$$