Solve x+13-1.6/x=0.75

$$\frac{ x+13-1.6 }{ x } =0.75$$

Solve for x

$$x=-45.6$$

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.

$$x+13-1.6=0.75x$$

Subtract 1.6 from 13 to get 11.4.

$$x+11.4=0.75x$$

Subtract 0.75x from both sides.

$$x+11.4-0.75x=0$$

Combine x and -0.75x to get 0.25x.

$$0.25x+11.4=0$$

Subtract 11.4 from both sides. Anything subtracted from zero gives its negation.

$$0.25x=-11.4$$

Divide both sides by 0.25.

$$x=\frac{-11.4}{0.25}$$

Expand \frac{-11.4}{0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1140}{25}$$

Reduce the fraction \frac{-1140}{25} to lowest terms by extracting and canceling out 5.

$$x=-\frac{228}{5}$$