Solve x-2/x=0.778

$$\frac{ x-2 }{ x } =0.778$$

Solve for x

$$x = \frac{1000}{111} = 9\frac{1}{111} \approx 9.009009009$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x-2=0.778x$$

Subtract 0.778x from both sides.

$$x-2-0.778x=0$$

Combine x and -0.778x to get 0.222x.

$$0.222x-2=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$0.222x=2$$

Divide both sides by 0.222.

$$x=\frac{2}{0.222}$$

Expand \frac{2}{0.222} by multiplying both numerator and the denominator by 1000.

$$x=\frac{2000}{222}$$

Reduce the fraction \frac{2000}{222} to lowest terms by extracting and canceling out 2.

$$x=\frac{1000}{111}$$