Solve x-6/3x=2-x/x

$$\frac { x - 6 } { 3 x } = \frac { 2 - x } { x }$$

Solve for x

$$x=3$$

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 3x, the least common multiple of 3x,x.

$$x-6=3\left(2-x\right)$$

Use the distributive property to multiply 3 by 2-x.

$$x-6=6-3x$$

Add 3x to both sides.

$$x-6+3x=6$$

Combine x and 3x to get 4x.

$$4x-6=6$$

Add 6 to both sides.

$$4x=6+6$$

Add 6 and 6 to get 12.

$$4x=12$$

Divide both sides by 4.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$