Solve x=6/1685-543.881+4|261.5-543.88|

$$x = 6 / 1685 - 543.881 + 4 | 261.5 - 543.88 |$$

Solve for x

$$x = \frac{197361543}{337000} = 585\frac{216543}{337000} \approx 585.642560831$$

Steps for Solving Linear Equation

Convert decimal number 543.881 to fraction \frac{543881}{1000}.

$$x=\frac{6}{1685}-\frac{543881}{1000}+4|261.5-543.88|$$

Least common multiple of 1685 and 1000 is 337000. Convert \frac{6}{1685} and \frac{543881}{1000} to fractions with denominator 337000.

$$x=\frac{1200}{337000}-\frac{183287897}{337000}+4|261.5-543.88|$$

Since \frac{1200}{337000} and \frac{183287897}{337000} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{1200-183287897}{337000}+4|261.5-543.88|$$

Subtract 183287897 from 1200 to get -183286697.

$$x=-\frac{183286697}{337000}+4|261.5-543.88|$$

Subtract 543.88 from 261.5 to get -282.38.

$$x=-\frac{183286697}{337000}+4|-282.38|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -282.38 is 282.38.

$$x=-\frac{183286697}{337000}+4\times 282.38$$

Multiply 4 and 282.38 to get 1129.52.

$$x=-\frac{183286697}{337000}+1129.52$$

Convert decimal number 1129.52 to fraction \frac{112952}{100}. Reduce the fraction \frac{112952}{100} to lowest terms by extracting and canceling out 4.

$$x=-\frac{183286697}{337000}+\frac{28238}{25}$$

Least common multiple of 337000 and 25 is 337000. Convert -\frac{183286697}{337000} and \frac{28238}{25} to fractions with denominator 337000.

$$x=-\frac{183286697}{337000}+\frac{380648240}{337000}$$

Since -\frac{183286697}{337000} and \frac{380648240}{337000} have the same denominator, add them by adding their numerators.

$$x=\frac{-183286697+380648240}{337000}$$

Add -183286697 and 380648240 to get 197361543.

$$x=\frac{197361543}{337000}$$

Assign x

$$x≔\frac{197361543}{337000}$$