Solve 23.4-15/x+15/60=11/30

$$\frac { 23.4 - 15 } { x } + \frac { 15 } { 60 } = \frac { 11 } { 30 }$$

Solve for x

$$x=72$$

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,60,30.

$$60\left(23.4-15\right)+x\times 15=22x$$

Subtract 15 from 23.4 to get 8.4.

$$60\times 8.4+x\times 15=22x$$

Multiply 60 and 8.4 to get 504.

$$504+x\times 15=22x$$

Subtract 22x from both sides.

$$504+x\times 15-22x=0$$

Combine x\times 15 and -22x to get -7x.

$$504-7x=0$$

Subtract 504 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-504$$

Divide both sides by -7.

$$x=\frac{-504}{-7}$$

Divide -504 by -7 to get 72.

$$x=72$$