Solve 10(0.02x-0.01)=1

$$10 ( 0.02 x - 0.01 ) = 1$$

Solve for x

$$x=5.5$$

Steps for Solving Linear Equation

Divide both sides by 10.

$$0.02x-0.01=\frac{1}{10}$$

Add 0.01 to both sides.

$$0.02x=\frac{1}{10}+0.01$$

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$0.02x=\frac{1}{10}+\frac{1}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{1}{10} and \frac{1}{100} to fractions with denominator 100.

$$0.02x=\frac{10}{100}+\frac{1}{100}$$

Since \frac{10}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$0.02x=\frac{10+1}{100}$$

Add 10 and 1 to get 11.

$$0.02x=\frac{11}{100}$$

Divide both sides by 0.02.

$$x=\frac{\frac{11}{100}}{0.02}$$

Express \frac{\frac{11}{100}}{0.02} as a single fraction.

$$x=\frac{11}{100\times 0.02}$$

Multiply 100 and 0.02 to get 2.

$$x=\frac{11}{2}$$