Solve 3+0.2x/0.2+30%=0.75

$$\frac { 3 + 0.2 x } { 0.2 } + 30 \% = 0.75$$

Solve for x

$$x=-14.55$$

Steps for Solving Linear Equation

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{3+0.2x}{0.2}+\frac{3}{10}=0.75$$

Divide each term of 3+0.2x by 0.2 to get \frac{3}{0.2}+\frac{0.2x}{0.2}.

$$\frac{3}{0.2}+\frac{0.2x}{0.2}+\frac{3}{10}=0.75$$

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

$$\frac{30}{2}+\frac{0.2x}{0.2}+\frac{3}{10}=0.75$$

Divide 30 by 2 to get 15.

$$15+\frac{0.2x}{0.2}+\frac{3}{10}=0.75$$

Cancel out 0.2 and 0.2.

$$15+x+\frac{3}{10}=0.75$$

Convert 15 to fraction \frac{150}{10}.

$$\frac{150}{10}+x+\frac{3}{10}=0.75$$

Since \frac{150}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{150+3}{10}+x=0.75$$

Add 150 and 3 to get 153.

$$\frac{153}{10}+x=0.75$$

Subtract \frac{153}{10} from both sides.

$$x=0.75-\frac{153}{10}$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$x=\frac{3}{4}-\frac{153}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{3}{4} and \frac{153}{10} to fractions with denominator 20.

$$x=\frac{15}{20}-\frac{306}{20}$$

Since \frac{15}{20} and \frac{306}{20} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{15-306}{20}$$

Subtract 306 from 15 to get -291.

$$x=-\frac{291}{20}$$