Solve 14/x=10,5/20-x

$$\frac { 14 } { x } = \frac { 10,5 } { 20 - x }$$

Solve for x

$$x=\frac{80}{7}\approx 11,428571429$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0;20 since division by zero is not defined. Multiply both sides of the equation by x\left(x-20\right), the least common multiple of x;20-x.

$$\left(x-20\right)\times 14=-x\times 10,5$$

Use the distributive property to multiply x-20 by 14.

$$14x-280=-x\times 10,5$$

Multiply -1 and 10,5 to get -10,5.

$$14x-280=-10,5x$$

Add 10,5x to both sides.

$$14x-280+10,5x=0$$

Combine 14x and 10,5x to get 24,5x.

$$24,5x-280=0$$

Add 280 to both sides. Anything plus zero gives itself.

$$24,5x=280$$

Divide both sides by 24,5.

$$x=\frac{280}{24,5}$$

Expand \frac{280}{24,5} by multiplying both numerator and the denominator by 10.

$$x=\frac{2800}{245}$$

Reduce the fraction \frac{2800}{245} to lowest terms by extracting and canceling out 35.

$$x=\frac{80}{7}$$