Solve 90-x/x-9-x/15x=20/60

$$\frac { 90 - x } { x } - \frac { 9 - x } { 15 x } = \frac { 20 } { 60 }$$

Solve for x

$$x = \frac{1341}{19} = 70\frac{11}{19} \approx 70.578947368$$

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 60x, the least common multiple of x,15x,60.

$$60\left(90-x\right)-4\left(9-x\right)=x\times 20$$

Use the distributive property to multiply 60 by 90-x.

$$5400-60x-4\left(9-x\right)=x\times 20$$

Use the distributive property to multiply -4 by 9-x.

$$5400-60x-36+4x=x\times 20$$

Subtract 36 from 5400 to get 5364.

$$5364-60x+4x=x\times 20$$

Combine -60x and 4x to get -56x.

$$5364-56x=x\times 20$$

Subtract x\times 20 from both sides.

$$5364-56x-x\times 20=0$$

Combine -56x and -x\times 20 to get -76x.

$$5364-76x=0$$

Subtract 5364 from both sides. Anything subtracted from zero gives its negation.

$$-76x=-5364$$

Divide both sides by -76.

$$x=\frac{-5364}{-76}$$

Reduce the fraction \frac{-5364}{-76} to lowest terms by extracting and canceling out -4.

$$x=\frac{1341}{19}$$