Solve 20*(0.002+0.0025+0.005+x+0.0095+0.011+0.0125)=1

$$20 \times ( 0.002 + 0.0025 + 0.005 + x + 0.0095 + 0.011 + 0.0125 ) = 1$$

Solve for x

$$x=0.0075$$

Steps for Solving Linear Equation

Divide both sides by 20.

$$0.002+0.0025+0.005+x+0.0095+0.011+0.0125=\frac{1}{20}$$

Add 0.002 and 0.0025 to get 0.0045.

$$0.0045+0.005+x+0.0095+0.011+0.0125=\frac{1}{20}$$

Add 0.0045 and 0.005 to get 0.0095.

$$0.0095+x+0.0095+0.011+0.0125=\frac{1}{20}$$

Add 0.0095 and 0.0095 to get 0.019.

$$0.019+x+0.011+0.0125=\frac{1}{20}$$

Add 0.019 and 0.011 to get 0.03.

$$0.03+x+0.0125=\frac{1}{20}$$

Add 0.03 and 0.0125 to get 0.0425.

$$0.0425+x=\frac{1}{20}$$

Subtract 0.0425 from both sides.

$$x=\frac{1}{20}-0.0425$$

Convert decimal number 0.0425 to fraction \frac{425}{10000}. Reduce the fraction \frac{425}{10000} to lowest terms by extracting and canceling out 25.

$$x=\frac{1}{20}-\frac{17}{400}$$

Least common multiple of 20 and 400 is 400. Convert \frac{1}{20} and \frac{17}{400} to fractions with denominator 400.

$$x=\frac{20}{400}-\frac{17}{400}$$

Since \frac{20}{400} and \frac{17}{400} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{20-17}{400}$$

Subtract 17 from 20 to get 3.

$$x=\frac{3}{400}$$