Solve 24/x=14/6

$$\frac{ 24 }{ x } = \frac{ 14 }{ 6 }$$

Solve for x

$$x = \frac{72}{7} = 10\frac{2}{7} \approx 10.285714286$$

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 6x, the least common multiple of x,6.

$$6\times 24=x\times 14$$

Multiply 6 and 24 to get 144.

$$144=x\times 14$$

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

$$x\times 14=144$$

Divide both sides by 14.

$$x=\frac{144}{14}$$

Reduce the fraction \frac{144}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{72}{7}$$