Solve 7/3*0.6-0.3x=1.7

$$\frac{ 7 }{ 3 } \times 0.6-0.3x=1.7$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}\times \frac{3}{5}-0.3x=1.7$$

Multiply \frac{7}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{3\times 5}-0.3x=1.7$$

Cancel out 3 in both numerator and denominator.

$$\frac{7}{5}-0.3x=1.7$$

Subtract \frac{7}{5} from both sides.

$$-0.3x=1.7-\frac{7}{5}$$

Convert decimal number 1.7 to fraction \frac{17}{10}.

$$-0.3x=\frac{17}{10}-\frac{7}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{17}{10} and \frac{7}{5} to fractions with denominator 10.

$$-0.3x=\frac{17}{10}-\frac{14}{10}$$

Since \frac{17}{10} and \frac{14}{10} have the same denominator, subtract them by subtracting their numerators.

$$-0.3x=\frac{17-14}{10}$$

Subtract 14 from 17 to get 3.

$$-0.3x=\frac{3}{10}$$

Divide both sides by -0.3.

$$x=\frac{\frac{3}{10}}{-0.3}$$

Divide \frac{3}{10} by -0.3 to get -1.

$$x=-1$$