Solve 9*4/10*(x+3*3/10)=9*8/10

$$9 \times \frac{ 4 }{ 10 } \times (x+3 \times \frac{ 3 }{ 10 } )=9 \times \frac{ 8 }{ 10 }$$

Solve for x

$$x = \frac{11}{10} = 1\frac{1}{10} = 1.1$$

Steps for Solving Linear Equation

Cancel out 9 on both sides.

$$\frac{4}{10}\left(x+3\times \frac{3}{10}\right)=\frac{8}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\left(x+3\times \frac{3}{10}\right)=\frac{8}{10}$$

Express 3\times \frac{3}{10} as a single fraction.

$$\frac{2}{5}\left(x+\frac{3\times 3}{10}\right)=\frac{8}{10}$$

Multiply 3 and 3 to get 9.

$$\frac{2}{5}\left(x+\frac{9}{10}\right)=\frac{8}{10}$$

Use the distributive property to multiply \frac{2}{5} by x+\frac{9}{10}.

$$\frac{2}{5}x+\frac{2}{5}\times \frac{9}{10}=\frac{8}{10}$$

Multiply \frac{2}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}x+\frac{2\times 9}{5\times 10}=\frac{8}{10}$$

Do the multiplications in the fraction \frac{2\times 9}{5\times 10}.

$$\frac{2}{5}x+\frac{18}{50}=\frac{8}{10}$$

Reduce the fraction \frac{18}{50} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}x+\frac{9}{25}=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}x+\frac{9}{25}=\frac{4}{5}$$

Subtract \frac{9}{25} from both sides.

$$\frac{2}{5}x=\frac{4}{5}-\frac{9}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{4}{5} and \frac{9}{25} to fractions with denominator 25.

$$\frac{2}{5}x=\frac{20}{25}-\frac{9}{25}$$

Since \frac{20}{25} and \frac{9}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{5}x=\frac{20-9}{25}$$

Subtract 9 from 20 to get 11.

$$\frac{2}{5}x=\frac{11}{25}$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=\frac{11}{25}\times \frac{5}{2}$$

Multiply \frac{11}{25} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 5}{25\times 2}$$

Do the multiplications in the fraction \frac{11\times 5}{25\times 2}.

$$x=\frac{55}{50}$$

Reduce the fraction \frac{55}{50} to lowest terms by extracting and canceling out 5.

$$x=\frac{11}{10}$$