Solve 0.28=x/x+96=

$$0.28= \frac{ x }{ x+96 } =$$

Solve for x

$$x = \frac{112}{3} = 37\frac{1}{3} \approx 37.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -96 since division by zero is not defined. Multiply both sides of the equation by x+96.

$$0.28\left(x+96\right)=x$$

Use the distributive property to multiply 0.28 by x+96.

$$0.28x+26.88=x$$

Subtract x from both sides.

$$0.28x+26.88-x=0$$

Combine 0.28x and -x to get -0.72x.

$$-0.72x+26.88=0$$

Subtract 26.88 from both sides. Anything subtracted from zero gives its negation.

$$-0.72x=-26.88$$

Divide both sides by -0.72.

$$x=\frac{-26.88}{-0.72}$$

Expand \frac{-26.88}{-0.72} by multiplying both numerator and the denominator by 100.

$$x=\frac{-2688}{-72}$$

Reduce the fraction \frac{-2688}{-72} to lowest terms by extracting and canceling out -24.

$$x=\frac{112}{3}$$