Solve 50-x/2x-1=49

$$\frac { 50 - x } { 2 x - 1 } = 49$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1.

$$50-x=49\left(2x-1\right)$$

Use the distributive property to multiply 49 by 2x-1.

$$50-x=98x-49$$

Subtract 98x from both sides.

$$50-x-98x=-49$$

Combine -x and -98x to get -99x.

$$50-99x=-49$$

Subtract 50 from both sides.

$$-99x=-49-50$$

Subtract 50 from -49 to get -99.

$$-99x=-99$$

Divide both sides by -99.

$$x=\frac{-99}{-99}$$

Divide -99 by -99 to get 1.

$$x=1$$