Solve 48/5-x/x=4/5

$$\frac{ \frac{ 48 }{ 5 } -x }{ x } = \frac{ 4 }{ 5 }$$

Solve for x

$$x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333$$

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 5x, the least common multiple of x,5.

$$5\left(\frac{48}{5}-x\right)=4x$$

Use the distributive property to multiply 5 by \frac{48}{5}-x.

$$5\times \frac{48}{5}-5x=4x$$

Cancel out 5 and 5.

$$48-5x=4x$$

Subtract 4x from both sides.

$$48-5x-4x=0$$

Combine -5x and -4x to get -9x.

$$48-9x=0$$

Subtract 48 from both sides. Anything subtracted from zero gives its negation.

$$-9x=-48$$

Divide both sides by -9.

$$x=\frac{-48}{-9}$$

Reduce the fraction \frac{-48}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{16}{3}$$