Solve 3030/x-30/15=15/60

$$\frac { 3030 } { x } - \frac { 30 } { 15 } = \frac { 15 } { 60 }$$

Solve for x

$$x = \frac{4040}{3} = 1346\frac{2}{3} \approx 1346.666666667$$

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,15,60.

$$60\times 3030-4x\times 30=x\times 15$$

Multiply 60 and 3030 to get 181800.

$$181800-4x\times 30=x\times 15$$

Multiply 4 and 30 to get 120.

$$181800-120x=x\times 15$$

Subtract x\times 15 from both sides.

$$181800-120x-x\times 15=0$$

Multiply -1 and 15 to get -15.

$$181800-120x-15x=0$$

Combine -120x and -15x to get -135x.

$$181800-135x=0$$

Subtract 181800 from both sides. Anything subtracted from zero gives its negation.

$$-135x=-181800$$

Divide both sides by -135.

$$x=\frac{-181800}{-135}$$

Reduce the fraction \frac{-181800}{-135} to lowest terms by extracting and canceling out -45.

$$x=\frac{4040}{3}$$