Solve (1-x)*(5.9736*10^24)=x(1.9891*10^30)

$$(1-x) \times (5.9736 \times { 10 }^{ 24 } )=x(1.9891 \times { 10 }^{ 30 } )$$

Solve for x

$$x=\frac{7467}{2486382467}\approx 0.000003003$$

Steps for Solving Linear Equation

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\left(1-x\right)\times 5.9736\times 1000000000000000000000000=x\times 1.9891\times 10^{30}$$

Multiply 5.9736 and 1000000000000000000000000 to get 5973600000000000000000000.

$$\left(1-x\right)\times 5973600000000000000000000=x\times 1.9891\times 10^{30}$$

Use the distributive property to multiply 1-x by 5973600000000000000000000.

$$5973600000000000000000000-5973600000000000000000000x=x\times 1.9891\times 10^{30}$$

Calculate 10 to the power of 30 and get 1000000000000000000000000000000.

$$5973600000000000000000000-5973600000000000000000000x=x\times 1.9891\times 1000000000000000000000000000000$$

Multiply 1.9891 and 1000000000000000000000000000000 to get 1989100000000000000000000000000.

$$5973600000000000000000000-5973600000000000000000000x=x\times 1989100000000000000000000000000$$

Subtract x\times 1989100000000000000000000000000 from both sides.

$$5973600000000000000000000-5973600000000000000000000x-x\times 1989100000000000000000000000000=0$$

Combine -5973600000000000000000000x and -x\times 1989100000000000000000000000000 to get -1989105973600000000000000000000x.

$$5973600000000000000000000-1989105973600000000000000000000x=0$$

Subtract 5973600000000000000000000 from both sides. Anything subtracted from zero gives its negation.

$$-1989105973600000000000000000000x=-5973600000000000000000000$$

Divide both sides by -1989105973600000000000000000000.

$$x=\frac{-5973600000000000000000000}{-1989105973600000000000000000000}$$

Reduce the fraction \frac{-5973600000000000000000000}{-1989105973600000000000000000000} to lowest terms by extracting and canceling out -800000000000000000000.

$$x=\frac{7467}{2486382467}$$