Solve 2*0.1*(10div1000)=1*x*(8div1000)

$$2 \times 0.1 \times (10 \div 1000)=1 \times x \times (8 \div 1000)$$

Solve for x

$$x=0.25$$

Steps for Solving Linear Equation

Multiply 2 and 0.1 to get 0.2.

$$0.2\times \frac{10}{1000}=1x\times \frac{8}{1000}$$

Reduce the fraction \frac{10}{1000} to lowest terms by extracting and canceling out 10.

$$0.2\times \frac{1}{100}=1x\times \frac{8}{1000}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}\times \frac{1}{100}=1x\times \frac{8}{1000}$$

Multiply \frac{1}{5} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{5\times 100}=1x\times \frac{8}{1000}$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 100}.

$$\frac{1}{500}=1x\times \frac{8}{1000}$$

Reduce the fraction \frac{8}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{1}{500}=1x\times \frac{1}{125}$$

Multiply 1 and \frac{1}{125} to get \frac{1}{125}.

$$\frac{1}{500}=\frac{1}{125}x$$

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

$$\frac{1}{125}x=\frac{1}{500}$$

Multiply both sides by 125, the reciprocal of \frac{1}{125}.

$$x=\frac{1}{500}\times 125$$

Multiply \frac{1}{500} and 125 to get \frac{125}{500}.

$$x=\frac{125}{500}$$

Reduce the fraction \frac{125}{500} to lowest terms by extracting and canceling out 125.

$$x=\frac{1}{4}$$