Solve 8610-210x/210x=.1

$$\frac{ 8610-210x }{ 210x } =.1$$

Solve for x

$$x = \frac{410}{11} = 37\frac{3}{11} \approx 37.272727273$$

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 210x.

$$8610-210x=21x$$

Subtract 21x from both sides.

$$8610-210x-21x=0$$

Combine -210x and -21x to get -231x.

$$8610-231x=0$$

Subtract 8610 from both sides. Anything subtracted from zero gives its negation.

$$-231x=-8610$$

Divide both sides by -231.

$$x=\frac{-8610}{-231}$$

Reduce the fraction \frac{-8610}{-231} to lowest terms by extracting and canceling out -21.

$$x=\frac{410}{11}$$