Solve 2/x=5*10^-2*10^3/10^9

$$\frac { 2 } { x } = \frac { 5 \cdot 10 ^ { - 2 } \cdot 10 ^ { 3 } } { 10 ^ { 9 } }$$

Solve for x

$$x=40000000$$

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.

$$2=\frac{1}{1000000000}x\times 5\times 10^{-2}\times 10^{3}$$

To multiply powers of the same base, add their exponents. Add -2 and 3 to get 1.

$$2=\frac{1}{1000000000}x\times 5\times 10^{1}$$

Multiply \frac{1}{1000000000} and 5 to get \frac{1}{200000000}.

$$2=\frac{1}{200000000}x\times 10^{1}$$

Calculate 10 to the power of 1 and get 10.

$$2=\frac{1}{200000000}x\times 10$$

Multiply \frac{1}{200000000} and 10 to get \frac{1}{20000000}.

$$2=\frac{1}{20000000}x$$

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

$$\frac{1}{20000000}x=2$$

Multiply both sides by 20000000, the reciprocal of \frac{1}{20000000}.

$$x=2\times 20000000$$

Multiply 2 and 20000000 to get 40000000.

$$x=40000000$$