Solve 0.2x-4.5*1/5=2.1

$$0.2x-4.5 \times \frac{ 1 }{ 5 } =2.1$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$0.2x-\frac{9}{2}\times \frac{1}{5}=2.1$$

Multiply \frac{9}{2} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$0.2x-\frac{9\times 1}{2\times 5}=2.1$$

Do the multiplications in the fraction \frac{9\times 1}{2\times 5}.

$$0.2x-\frac{9}{10}=2.1$$

Add \frac{9}{10} to both sides.

$$0.2x=2.1+\frac{9}{10}$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$0.2x=\frac{21}{10}+\frac{9}{10}$$

Since \frac{21}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.

$$0.2x=\frac{21+9}{10}$$

Add 21 and 9 to get 30.

$$0.2x=\frac{30}{10}$$

Divide 30 by 10 to get 3.

$$0.2x=3$$

Divide both sides by 0.2.

$$x=\frac{3}{0.2}$$

Expand \frac{3}{0.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{30}{2}$$

Divide 30 by 2 to get 15.

$$x=15$$