Solve x-3/2x=x-5/x

$$\frac { x - 3 } { 2 x } = \frac { x - 5 } { x }$$

Solve for x

$$x=7$$

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 2x, the least common multiple of 2x,x.

$$x-3=2\left(x-5\right)$$

Use the distributive property to multiply 2 by x-5.

$$x-3=2x-10$$

Subtract 2x from both sides.

$$x-3-2x=-10$$

Combine x and -2x to get -x.

$$-x-3=-10$$

Add 3 to both sides.

$$-x=-10+3$$

Add -10 and 3 to get -7.

$$-x=-7$$

Multiply both sides by -1.

$$x=7$$