Solve 13/x-89=41

$$\frac { 13 } { x } - 89 = 41$$

Solve for x

$$x=\frac{1}{10}=0.1$$

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.

$$13+x\left(-89\right)=41x$$

Subtract 41x from both sides.

$$13+x\left(-89\right)-41x=0$$

Combine x\left(-89\right) and -41x to get -130x.

$$13-130x=0$$

Subtract 13 from both sides. Anything subtracted from zero gives its negation.

$$-130x=-13$$

Divide both sides by -130.

$$x=\frac{-13}{-130}$$

Reduce the fraction \frac{-13}{-130} to lowest terms by extracting and canceling out -13.

$$x=\frac{1}{10}$$