Solve 20%+10%*69+32x-36div6+22=33+44%*x

$$20 \% +10 \% \times 69+32x-36 \div 6+22=33+44 \% \times x$$

Solve for x

$$x=\frac{165}{526}\approx 0.313688213$$

Steps for Solving Linear Equation

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{5}+\frac{10}{100}\times 69+32x-\frac{36}{6}+22=33+\frac{44}{100}x$$

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

$$\frac{1}{5}+\frac{1}{10}\times 69+32x-\frac{36}{6}+22=33+\frac{44}{100}x$$

Multiply \frac{1}{10} and 69 to get \frac{69}{10}.

$$\frac{1}{5}+\frac{69}{10}+32x-\frac{36}{6}+22=33+\frac{44}{100}x$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{69}{10} to fractions with denominator 10.

$$\frac{2}{10}+\frac{69}{10}+32x-\frac{36}{6}+22=33+\frac{44}{100}x$$

Since \frac{2}{10} and \frac{69}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+69}{10}+32x-\frac{36}{6}+22=33+\frac{44}{100}x$$

Add 2 and 69 to get 71.

$$\frac{71}{10}+32x-\frac{36}{6}+22=33+\frac{44}{100}x$$

Divide 36 by 6 to get 6.

$$\frac{71}{10}+32x-6+22=33+\frac{44}{100}x$$

Convert 6 to fraction \frac{60}{10}.

$$\frac{71}{10}+32x-\frac{60}{10}+22=33+\frac{44}{100}x$$

Since \frac{71}{10} and \frac{60}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-60}{10}+32x+22=33+\frac{44}{100}x$$

Subtract 60 from 71 to get 11.

$$\frac{11}{10}+32x+22=33+\frac{44}{100}x$$

Convert 22 to fraction \frac{220}{10}.

$$\frac{11}{10}+32x+\frac{220}{10}=33+\frac{44}{100}x$$

Since \frac{11}{10} and \frac{220}{10} have the same denominator, add them by adding their numerators.

$$\frac{11+220}{10}+32x=33+\frac{44}{100}x$$

Add 11 and 220 to get 231.

$$\frac{231}{10}+32x=33+\frac{44}{100}x$$

Reduce the fraction \frac{44}{100} to lowest terms by extracting and canceling out 4.

$$\frac{231}{10}+32x=33+\frac{11}{25}x$$

Subtract \frac{11}{25}x from both sides.

$$\frac{231}{10}+32x-\frac{11}{25}x=33$$

Combine 32x and -\frac{11}{25}x to get \frac{789}{25}x.

$$\frac{231}{10}+\frac{789}{25}x=33$$

Subtract \frac{231}{10} from both sides.

$$\frac{789}{25}x=33-\frac{231}{10}$$

Convert 33 to fraction \frac{330}{10}.

$$\frac{789}{25}x=\frac{330}{10}-\frac{231}{10}$$

Since \frac{330}{10} and \frac{231}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{789}{25}x=\frac{330-231}{10}$$

Subtract 231 from 330 to get 99.

$$\frac{789}{25}x=\frac{99}{10}$$

Multiply both sides by \frac{25}{789}, the reciprocal of \frac{789}{25}.

$$x=\frac{99}{10}\times \frac{25}{789}$$

Multiply \frac{99}{10} times \frac{25}{789} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{99\times 25}{10\times 789}$$

Do the multiplications in the fraction \frac{99\times 25}{10\times 789}.

$$x=\frac{2475}{7890}$$

Reduce the fraction \frac{2475}{7890} to lowest terms by extracting and canceling out 15.

$$x=\frac{165}{526}$$