Solve 1.01*10^5*50=x/6.02*10^-23*8.31*293

$$1.01 \times { 10 }^{ 5 } \times 50= \frac{ x }{ 6.02 \times { 10 }^{ -23 } } \times 8.31 \times 293$$

Solve for x

$$x=\frac{30401}{243483000000000000000000}\approx 1.248588197 \cdot 10^{-19}$$

Steps for Solving Linear Equation

Calculate 10 to the power of 5 and get 100000.

$$1.01\times 100000\times 50=\frac{x}{6.02\times 10^{-23}}\times 8.31\times 293$$

Multiply 1.01 and 100000 to get 101000.

$$101000\times 50=\frac{x}{6.02\times 10^{-23}}\times 8.31\times 293$$

Multiply 101000 and 50 to get 5050000.

$$5050000=\frac{x}{6.02\times 10^{-23}}\times 8.31\times 293$$

Calculate 10 to the power of -23 and get \frac{1}{100000000000000000000000}.

$$5050000=\frac{x}{6.02\times \frac{1}{100000000000000000000000}}\times 8.31\times 293$$

Multiply 6.02 and \frac{1}{100000000000000000000000} to get \frac{301}{5000000000000000000000000}.

$$5050000=\frac{x}{\frac{301}{5000000000000000000000000}}\times 8.31\times 293$$

Multiply 8.31 and 293 to get 2434.83.

$$5050000=\frac{x}{\frac{301}{5000000000000000000000000}}\times 2434.83$$

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

$$\frac{x}{\frac{301}{5000000000000000000000000}}\times 2434.83=5050000$$

Divide both sides by 2434.83.

$$\frac{x}{\frac{301}{5000000000000000000000000}}=\frac{5050000}{2434.83}$$

Expand \frac{5050000}{2434.83} by multiplying both numerator and the denominator by 100.

$$\frac{x}{\frac{301}{5000000000000000000000000}}=\frac{505000000}{243483}$$

Multiply both sides by \frac{301}{5000000000000000000000000}.

$$x=\frac{505000000}{243483}\times \frac{301}{5000000000000000000000000}$$

Multiply \frac{505000000}{243483} and \frac{301}{5000000000000000000000000} to get \frac{30401}{243483000000000000000000}.

$$x=\frac{30401}{243483000000000000000000}$$