Solve 1/bx-2=4

$$\frac { 1 } { b } x - 2 = 4$$

Solve for b

$$b=\frac{x}{6}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$1x+b\left(-2\right)=4b$$

Subtract 4b from both sides.

$$1x+b\left(-2\right)-4b=0$$

Combine b\left(-2\right) and -4b to get -6b.

$$1x-6b=0$$

Subtract 1x from both sides. Anything subtracted from zero gives its negation.

$$-6b=-x$$

Divide both sides by -6.

$$\frac{-6b}{-6}=-\frac{x}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$b=-\frac{x}{-6}$$

Divide -x by -6.

$$b=\frac{x}{6}$$

Variable b cannot be equal to 0.

$$b=\frac{x}{6}\text{, }b\neq 0$$

Solve for x

$$x=6b$$

$$b\neq 0$$

Solution Steps

Multiply both sides of the equation by b.

$$1x+b\left(-2\right)=4b$$

Subtract b\left(-2\right) from both sides.

$$1x=4b-b\left(-2\right)$$

Combine 4b and -b\left(-2\right) to get 6b.

$$1x=6b$$

Reorder the terms.

$$x=6b$$