Solve 5/7*16.31-xdiv7/5=10

$$\frac{ 5 }{ 7 } \times 16.31-x \div \frac{ 7 }{ 5 } =10$$

Solve for x

$$x=2.31$$

Steps for Solving Linear Equation

Convert decimal number 16.31 to fraction \frac{1631}{100}.

$$\frac{5}{7}\times \frac{1631}{100}-\frac{x}{\frac{7}{5}}=10$$

Multiply \frac{5}{7} times \frac{1631}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1631}{7\times 100}-\frac{x}{\frac{7}{5}}=10$$

Do the multiplications in the fraction \frac{5\times 1631}{7\times 100}.

$$\frac{8155}{700}-\frac{x}{\frac{7}{5}}=10$$

Reduce the fraction \frac{8155}{700} to lowest terms by extracting and canceling out 35.

$$\frac{233}{20}-\frac{x}{\frac{7}{5}}=10$$

Subtract \frac{233}{20} from both sides.

$$-\frac{x}{\frac{7}{5}}=10-\frac{233}{20}$$

Convert 10 to fraction \frac{200}{20}.

$$-\frac{x}{\frac{7}{5}}=\frac{200}{20}-\frac{233}{20}$$

Since \frac{200}{20} and \frac{233}{20} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{x}{\frac{7}{5}}=\frac{200-233}{20}$$

Subtract 233 from 200 to get -33.

$$-\frac{x}{\frac{7}{5}}=-\frac{33}{20}$$

Divide both sides by -1.

$$\frac{x}{\frac{7}{5}}=\frac{-\frac{33}{20}}{-1}$$

Express \frac{-\frac{33}{20}}{-1} as a single fraction.

$$\frac{x}{\frac{7}{5}}=\frac{-33}{20\left(-1\right)}$$

Multiply 20 and -1 to get -20.

$$\frac{x}{\frac{7}{5}}=\frac{-33}{-20}$$

Fraction \frac{-33}{-20} can be simplified to \frac{33}{20} by removing the negative sign from both the numerator and the denominator.

$$\frac{x}{\frac{7}{5}}=\frac{33}{20}$$

Multiply both sides by \frac{7}{5}.

$$x=\frac{33}{20}\times \frac{7}{5}$$

Multiply \frac{33}{20} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{33\times 7}{20\times 5}$$

Do the multiplications in the fraction \frac{33\times 7}{20\times 5}.

$$x=\frac{231}{100}$$