Solve 0.778=x-1+2/x

$$0.778 = \frac{ x-1+2 }{ x }$$

Solve for x

$$x = -\frac{500}{111} = -4\frac{56}{111} \approx -4.504504505$$

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.

$$0.778x=x-1+2$$

Add -1 and 2 to get 1.

$$0.778x=x+1$$

Subtract x from both sides.

$$0.778x-x=1$$

Combine 0.778x and -x to get -0.222x.

$$-0.222x=1$$

Divide both sides by -0.222.

$$x=\frac{1}{-0.222}$$

Expand \frac{1}{-0.222} by multiplying both numerator and the denominator by 1000.

$$x=\frac{1000}{-222}$$

Reduce the fraction \frac{1000}{-222} to lowest terms by extracting and canceling out 2.

$$x=-\frac{500}{111}$$