Solve x/x+100=0.75

$$\frac { x } { x + 100 } = 0.75$$

Solve for x

$$x=300$$

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.

$$x=0.75\left(x+100\right)$$

Use the distributive property to multiply 0.75 by x+100.

$$x=0.75x+75$$

Subtract 0.75x from both sides.

$$x-0.75x=75$$

Combine x and -0.75x to get 0.25x.

$$0.25x=75$$

Divide both sides by 0.25.

$$x=\frac{75}{0.25}$$

Expand \frac{75}{0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{7500}{25}$$

Divide 7500 by 25 to get 300.

$$x=300$$