Solve 64-2x/1-x=126

$$\frac { 64 - 2 x } { 1 - x } = 126$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.

$$64-2x=126\left(-x+1\right)$$

Use the distributive property to multiply 126 by -x+1.

$$64-2x=-126x+126$$

Add 126x to both sides.

$$64-2x+126x=126$$

Combine -2x and 126x to get 124x.

$$64+124x=126$$

Subtract 64 from both sides.

$$124x=126-64$$

Subtract 64 from 126 to get 62.

$$124x=62$$

Divide both sides by 124.

$$x=\frac{62}{124}$$

Reduce the fraction \frac{62}{124} to lowest terms by extracting and canceling out 62.

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