Solve 0.78=x-3/x

$$0.78= \frac{ x-3 }{ x }$$

Solve for x

$$x = \frac{150}{11} = 13\frac{7}{11} \approx 13.636363636$$

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.

$$0.78x=x-3$$

Subtract x from both sides.

$$0.78x-x=-3$$

Combine 0.78x and -x to get -0.22x.

$$-0.22x=-3$$

Divide both sides by -0.22.

$$x=\frac{-3}{-0.22}$$

Expand \frac{-3}{-0.22} by multiplying both numerator and the denominator by 100.

$$x=\frac{-300}{-22}$$

Reduce the fraction \frac{-300}{-22} to lowest terms by extracting and canceling out -2.

$$x=\frac{150}{11}$$