Solve x=26div3+5-456*1050^circ+669-(-71/8)*(-81/25)

$$x = 26 \div 3 + 5 - 456 \times 1050 ^ { \circ } + 669 - ( - \frac { 71 } { 8 } ) \cdot ( - \frac { 81 } { 25 } )$$

Solve for x

$$x = -\frac{286887653}{600} = -478146\frac{53}{600} \approx -478146.088333333$$

Steps for Solving Linear Equation

Convert 5 to fraction \frac{15}{3}.

$$x=\frac{26}{3}+\frac{15}{3}-456\times 1050+669-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Since \frac{26}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$x=\frac{26+15}{3}-456\times 1050+669-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Add 26 and 15 to get 41.

$$x=\frac{41}{3}-456\times 1050+669-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Multiply 456 and 1050 to get 478800.

$$x=\frac{41}{3}-478800+669-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Convert 478800 to fraction \frac{1436400}{3}.

$$x=\frac{41}{3}-\frac{1436400}{3}+669-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Since \frac{41}{3} and \frac{1436400}{3} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{41-1436400}{3}+669-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Subtract 1436400 from 41 to get -1436359.

$$x=-\frac{1436359}{3}+669-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Convert 669 to fraction \frac{2007}{3}.

$$x=-\frac{1436359}{3}+\frac{2007}{3}-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Since -\frac{1436359}{3} and \frac{2007}{3} have the same denominator, add them by adding their numerators.

$$x=\frac{-1436359+2007}{3}-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Add -1436359 and 2007 to get -1434352.

$$x=-\frac{1434352}{3}-\left(-\frac{71}{8}\left(-\frac{81}{25}\right)\right)$$

Multiply -\frac{71}{8} times -\frac{81}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=-\frac{1434352}{3}-\frac{-71\left(-81\right)}{8\times 25}$$

Do the multiplications in the fraction \frac{-71\left(-81\right)}{8\times 25}.

$$x=-\frac{1434352}{3}-\frac{5751}{200}$$

Least common multiple of 3 and 200 is 600. Convert -\frac{1434352}{3} and \frac{5751}{200} to fractions with denominator 600.

$$x=-\frac{286870400}{600}-\frac{17253}{600}$$

Since -\frac{286870400}{600} and \frac{17253}{600} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-286870400-17253}{600}$$

Subtract 17253 from -286870400 to get -286887653.

$$x=-\frac{286887653}{600}$$

Assign x

$$x≔-\frac{286887653}{600}$$