Solve 12/x=14/5

$$\frac{ 12 }{ x } = \frac{ 14 }{ 5 }$$

Solve for x

$$x = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

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.

$$5\times 12=14x$$

Multiply 5 and 12 to get 60.

$$60=14x$$

Swap sides so that all variable terms are on the left hand side.

$$14x=60$$

Divide both sides by 14.

$$x=\frac{60}{14}$$

Reduce the fraction \frac{60}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{30}{7}$$