Solve 4/2*5=16/x

$$\frac { 4 } { 2 \cdot 5 } = \frac { 16 } { x }$$

Solve for x

$$x=40$$

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 x.

$$\frac{1}{10}x\times 4=16$$

Multiply \frac{1}{10} and 4 to get \frac{4}{10}.

$$\frac{4}{10}x=16$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}x=16$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=16\times \frac{5}{2}$$

Express 16\times \frac{5}{2} as a single fraction.

$$x=\frac{16\times 5}{2}$$

Multiply 16 and 5 to get 80.

$$x=\frac{80}{2}$$

Divide 80 by 2 to get 40.

$$x=40$$