Solve x*0.10=3.6/180*8.3*10^3*(273+77)

$$x \times 0.10= \frac{ 3.6 }{ 180 } \times 8.3 \times { 10 }^{ 3 } \times (273+77)$$

Solve for x

$$x=581000$$

Steps for Solving Linear Equation

Expand \frac{3.6}{180} by multiplying both numerator and the denominator by 10.

$$x\times 0.1=\frac{36}{1800}\times 8.3\times 10^{3}\left(273+77\right)$$

Reduce the fraction \frac{36}{1800} to lowest terms by extracting and canceling out 36.

$$x\times 0.1=\frac{1}{50}\times 8.3\times 10^{3}\left(273+77\right)$$

Convert decimal number 8.3 to fraction \frac{83}{10}.

$$x\times 0.1=\frac{1}{50}\times \frac{83}{10}\times 10^{3}\left(273+77\right)$$

Multiply \frac{1}{50} times \frac{83}{10} by multiplying numerator times numerator and denominator times denominator.

$$x\times 0.1=\frac{1\times 83}{50\times 10}\times 10^{3}\left(273+77\right)$$

Do the multiplications in the fraction \frac{1\times 83}{50\times 10}.

$$x\times 0.1=\frac{83}{500}\times 10^{3}\left(273+77\right)$$

Calculate 10 to the power of 3 and get 1000.

$$x\times 0.1=\frac{83}{500}\times 1000\left(273+77\right)$$

Express \frac{83}{500}\times 1000 as a single fraction.

$$x\times 0.1=\frac{83\times 1000}{500}\left(273+77\right)$$

Multiply 83 and 1000 to get 83000.

$$x\times 0.1=\frac{83000}{500}\left(273+77\right)$$

Divide 83000 by 500 to get 166.

$$x\times 0.1=166\left(273+77\right)$$

Add 273 and 77 to get 350.

$$x\times 0.1=166\times 350$$

Multiply 166 and 350 to get 58100.

$$x\times 0.1=58100$$

Divide both sides by 0.1.

$$x=\frac{58100}{0.1}$$

Expand \frac{58100}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$x=581000$$