Solve 48/5-x/x=3/5

$$\frac { \frac { 48 } { 5 } - x } { x } = \frac { 3 } { 5 }$$

Solve for x

$$x=6$$

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.

$$5\left(\frac{48}{5}-x\right)=3x$$

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

$$5\times \frac{48}{5}-5x=3x$$

Cancel out 5 and 5.

$$48-5x=3x$$

Subtract 3x from both sides.

$$48-5x-3x=0$$

Combine -5x and -3x to get -8x.

$$48-8x=0$$

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

$$-8x=-48$$

Divide both sides by -8.

$$x=\frac{-48}{-8}$$

Divide -48 by -8 to get 6.

$$x=6$$