Solve 1.39=x/8.31(334-299/299*334)

$$1.39 = \frac { x } { 8.31 } ( \frac { 334 - 299 } { 299 \times 334 } )$$

Solve for x

$$x = \frac{5767710897}{175000} = 32958\frac{60897}{175000} \approx 32958.347982857$$

Steps for Solving Linear Equation

Subtract 299 from 334 to get 35.

$$1.39=\frac{x}{8.31}\times \frac{35}{299\times 334}$$

Multiply 299 and 334 to get 99866.

$$1.39=\frac{x}{8.31}\times \frac{35}{99866}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{8.31}\times \frac{35}{99866}=1.39$$

Multiply both sides by \frac{99866}{35}, the reciprocal of \frac{35}{99866}.

$$\frac{x}{8.31}=1.39\times \frac{99866}{35}$$

Convert decimal number 1.39 to fraction \frac{139}{100}.

$$\frac{x}{8.31}=\frac{139}{100}\times \frac{99866}{35}$$

Multiply \frac{139}{100} times \frac{99866}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{8.31}=\frac{139\times 99866}{100\times 35}$$

Do the multiplications in the fraction \frac{139\times 99866}{100\times 35}.

$$\frac{x}{8.31}=\frac{13881374}{3500}$$

Reduce the fraction \frac{13881374}{3500} to lowest terms by extracting and canceling out 2.

$$\frac{x}{8.31}=\frac{6940687}{1750}$$

Multiply both sides by 8.31.

$$x=\frac{6940687}{1750}\times 8.31$$

Convert decimal number 8.31 to fraction \frac{831}{100}.

$$x=\frac{6940687}{1750}\times \frac{831}{100}$$

Multiply \frac{6940687}{1750} times \frac{831}{100} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{6940687\times 831}{1750\times 100}$$

Do the multiplications in the fraction \frac{6940687\times 831}{1750\times 100}.

$$x=\frac{5767710897}{175000}$$