Solve 0.25=x/x+400

$$0.25 = \frac { x } { x + 400 }$$

Solve for x

$$x = \frac{400}{3} = 133\frac{1}{3} \approx 133.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -400 since division by zero is not defined. Multiply both sides of the equation by x+400.

$$0.25\left(x+400\right)=x$$

Use the distributive property to multiply 0.25 by x+400.

$$0.25x+100=x$$

Subtract x from both sides.

$$0.25x+100-x=0$$

Combine 0.25x and -x to get -0.75x.

$$-0.75x+100=0$$

Subtract 100 from both sides. Anything subtracted from zero gives its negation.

$$-0.75x=-100$$

Divide both sides by -0.75.

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

Expand \frac{-100}{-0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-10000}{-75}$$

Reduce the fraction \frac{-10000}{-75} to lowest terms by extracting and canceling out -25.

$$x=\frac{400}{3}$$