Solve x=3/1-b

$$x = \frac { 3 } { 1 - b }$$

Solve for b

$$b=\frac{x-3}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$x\left(-b+1\right)=3$$

Use the distributive property to multiply x by -b+1.

$$-xb+x=3$$

Subtract x from both sides.

$$-xb=3-x$$

The equation is in standard form.

$$\left(-x\right)b=3-x$$

Divide both sides by -x.

$$\frac{\left(-x\right)b}{-x}=\frac{3-x}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$b=\frac{3-x}{-x}$$

Divide 3-x by -x.

$$b=1-\frac{3}{x}$$

Variable b cannot be equal to 1.

$$b=1-\frac{3}{x}\text{, }b\neq 1$$

Solve for x

$$x=\frac{3}{1-b}$$

$$b\neq 1$$