Solve 50-x/2x-1=50

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

Solve for x

$$x=\frac{100}{101}\approx 0.99009901$$

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.

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

Use the distributive property to multiply 50 by 2x-1.

$$50-x=100x-50$$

Subtract 100x from both sides.

$$50-x-100x=-50$$

Combine -x and -100x to get -101x.

$$50-101x=-50$$

Subtract 50 from both sides.

$$-101x=-50-50$$

Subtract 50 from -50 to get -100.

$$-101x=-100$$

Divide both sides by -101.

$$x=\frac{-100}{-101}$$

Fraction \frac{-100}{-101} can be simplified to \frac{100}{101} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{100}{101}$$