Solve 50-x/2x-1=6

$$\frac { 50 - x } { 2 x - 1 } = 6$$

Solve for x

$$x = \frac{56}{13} = 4\frac{4}{13} \approx 4.307692308$$

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.

$$50-x=6\left(2x-1\right)$$

Use the distributive property to multiply 6 by 2x-1.

$$50-x=12x-6$$

Subtract 12x from both sides.

$$50-x-12x=-6$$

Combine -x and -12x to get -13x.

$$50-13x=-6$$

Subtract 50 from both sides.

$$-13x=-6-50$$

Subtract 50 from -6 to get -56.

$$-13x=-56$$

Divide both sides by -13.

$$x=\frac{-56}{-13}$$

Fraction \frac{-56}{-13} can be simplified to \frac{56}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{56}{13}$$