Solve x/x+100=0.26

$$\frac { x } { x + 100 } = 0.26$$

Solve for x

$$x = \frac{1300}{37} = 35\frac{5}{37} \approx 35.135135135$$

Steps for Solving Linear Equation

Variable x cannot be equal to -100 since division by zero is not defined. Multiply both sides of the equation by x+100.

$$x=0.26\left(x+100\right)$$

Use the distributive property to multiply 0.26 by x+100.

$$x=0.26x+26$$

Subtract 0.26x from both sides.

$$x-0.26x=26$$

Combine x and -0.26x to get 0.74x.

$$0.74x=26$$

Divide both sides by 0.74.

$$x=\frac{26}{0.74}$$

Expand \frac{26}{0.74} by multiplying both numerator and the denominator by 100.

$$x=\frac{2600}{74}$$

Reduce the fraction \frac{2600}{74} to lowest terms by extracting and canceling out 2.

$$x=\frac{1300}{37}$$