Solve x/50=x-50/2

$$\frac { x } { 50 } = \frac { x - 50 } { 2 }$$

Solve for x

$$x = \frac{625}{12} = 52\frac{1}{12} \approx 52.083333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 50, the least common multiple of 50,2.

$$x=25\left(x-50\right)$$

Use the distributive property to multiply 25 by x-50.

$$x=25x-1250$$

Subtract 25x from both sides.

$$x-25x=-1250$$

Combine x and -25x to get -24x.

$$-24x=-1250$$

Divide both sides by -24.

$$x=\frac{-1250}{-24}$$

Reduce the fraction \frac{-1250}{-24} to lowest terms by extracting and canceling out -2.

$$x=\frac{625}{12}$$