Solve x-9/x=1/4

$$\frac { x - 9 } { x } = \frac { 1 } { 4 }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.

$$4\left(x-9\right)=x$$

Use the distributive property to multiply 4 by x-9.

$$4x-36=x$$

Subtract x from both sides.

$$4x-36-x=0$$

Combine 4x and -x to get 3x.

$$3x-36=0$$

Add 36 to both sides. Anything plus zero gives itself.

$$3x=36$$

Divide both sides by 3.

$$x=\frac{36}{3}$$

Divide 36 by 3 to get 12.

$$x=12$$